Questions

1) Special names are given to the sides of a right triangle. The two sides that make up the right triangle are called _____ and the side opposite the right angle is called the _____.

250 character(s) left
Your answer is too long.

2) Refer to the figure below to answer the following questions: (a) What is the length of segment BC (leg a)? (b) What is the length of segment AC (leg b)? (c) What is the length of segment AB (hypotenuse)?

250 character(s) left
Your answer is too long.

3) Are the lengths of 8, 15, and 17 lengths of a right triangle?

a.) Yes

b.) No

4) Do the lengths of 5, 12, and 13 form a Pythagorean triple?

a.) Yes

b.) No

5) The lengths of the legs of a right triangle are given below. What is the length of the hypotenuse?

250 character(s) left
Your answer is too long.

6) The lengths of the leg and the hypotenuse of a right triangle are given below. What is the length of the other leg?

250 character(s) left
Your answer is too long.

7) The lengths of the legs of a right triangle are given below. What is the length of the hypotenuse?

250 character(s) left
Your answer is too long.

8) What is the height of the triangle show below? (Hint: One of the given lengths will not be used to solve this problem.)

250 character(s) left
Your answer is too long.

9) The length of the diagonal of a television screen indicates the television's viewing size. For a 51-inch television set with a screen height of 26 inches, how wide is the screen to the nearest whole inch?

250 character(s) left
Your answer is too long.

10) A ladder 12 feet in length is placed against the side of a house such that the bottom of the ladder is 4 feet from the house. What is the vertical distance between the point where the ladder touches the house and the ground?

250 character(s) left
Your answer is too long.

11) Ant lions dig cone-shaped pits. They use their pits to trap ants for food. (a) What is the slant height (l) of the cone-shaped pit? (b) What is the lateral area of the pit?

250 character(s) left
Your answer is too long.

12) Use the distance formula to find the length of segment RS.

250 character(s) left
Your answer is too long.

13) What is the distance between points B and C?

250 character(s) left
Your answer is too long.

14) What is the distance between the lighthouse and the sailboat? (Notice that the scales on both axes are in increments of 10.)

250 character(s) left
Your answer is too long.

15) Plot points D(2, 3), E(5, 1), and F(–2, –4) in the coordinate plane below and draw triangle DEF. Find the length of each side of the triangle by using the distance formula, and then answer the following question. Is the triangle a right triangle? If yes, just state yes. If no, give a mathematical reason using the Pythagorean Theorem to explain why the triangle is not a right triangle.

4000 character(s) left
Your answer is too long.

Attachments

There are no attachments

Attach a File

16) In a 45-45-90 degree right triangle, the length of the hypotenuse can be determined by multiplying the _____ times the _____. State the letter of the correct answer.

250 character(s) left
Your answer is too long.

17) What is the length of the hypotenuse of the right isosceles triangle shown below? Use the special relationship that exists between the leg and hypotenuse of a 45-45-90 triangle to calculate the answer. Then, check the work using the Pythagorean Theorem.

250 character(s) left
Your answer is too long.

18) What is the length of the hypotenuse of the given right isosceles triangle when the length of each of the legs is 10 kilometers?

250 character(s) left
Your answer is too long.

19) What is the length of either leg of the given right isosceles triangle when the length of the hypotenuse is 38 miles?

250 character(s) left
Your answer is too long.

20) A diagonal of a square divides the square into two 45-45-90 degree triangles. If the length of one edge of the square is 14 m, what is the length of the diagonal (d) of the square?

250 character(s) left
Your answer is too long.

21) The softball infield, sometimes referred to as the softball “diamond”, forms a SQUARE with a side length of 60 feet. How far is the throw from third base to first base? Express the answer rounded to the nearest whole foot.

250 character(s) left
Your answer is too long.

22) In a 30-60-90 degree right triangle, the length of the _____ is twice as long as the shorter leg, and the longer leg equals the shorter leg multiplied by the _____. State the letter of the correct answer.

250 character(s) left
Your answer is too long.

23) What is the length of the shorter leg of the given 30-60-90 degree triangle when the length of the hypotenuse is 25 centimeters and the length of the longer leg is 21.7 centimeters?

250 character(s) left
Your answer is too long.

24) What is the length of the longer leg of the given 30-60-90 degree triangle if the length of the shorter leg is 15 inches and the length of the hypotenuse is 30 inches?

250 character(s) left
Your answer is too long.

25) What is the length of the hypotenuse of the given 30-60-90 degree triangle when the length of the shorter leg is 14 centimeters and the length of the longer leg is 24.2 centimeters?

250 character(s) left
Your answer is too long.

26) What is the length of the shorter leg of the given 30-60-90 degree triangle when the length of the longer leg is 22 meters?

250 character(s) left
Your answer is too long.

27) What is the length of the longer leg of the given 30-60-90 degree triangle when the length of the shorter leg is 20 feet and the length of the hypotenuse is 40 feet?

250 character(s) left
Your answer is too long.

28) Triangle ABC is an equilateral triangle. Its altitude, segment BD, bisects angle B as shown below. (a) What is the length of segment AD? (b) What is the length of the altitude of the triangle?

250 character(s) left
Your answer is too long.

29) Terry is having an A-frame house built for her vacation home. An architect designs the A-frame home with a rectangular floor that measures 35 feet by 56 feet. Viewed from the front, the A-frame forms an equilateral triangle. How tall is the home?

250 character(s) left
Your answer is too long.

30) What is the value of “b”? (Hint: Use the 30-60-90 degree triangle to determine the height of the triangle, and then find the value of “b”.)

250 character(s) left
Your answer is too long.

31) Which is the best description of irrational numbers?

a.) Irrational numbers have decimal numbers that never end and develop repeating patterns.

b.) Irrational numbers have decimal numbers that terminate.

c.) Irrational numbers have decimal numbers that may develop into a repeating pattern or may terminate.

d.) Irrational numbers have decimal numbers that never end and do not develop repeating patterns.

32) The length of the hypotenuse of the triangle shown on the number line below is the same length as the point graphed on the number line (in red). This method can be used to locate irrational numbers on the number line. The graph shows the location of what irrational number? State the letter of the correct answer. .

250 character(s) left
Your answer is too long.

33) The given figure can be used to locate what irrational number? State the letter of the correct answer.

250 character(s) left
Your answer is too long.

34) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form.

No offline activities found

0 Hour(s) & 0 Minute(s)

If you are NOT required to complete Offline Activities for this course, please check the box below.

I do not have any Offline Activities for this unit.

Attachments

There are no attachments

Attach a File