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Mathematics, 22.12.2020 01:20 Paigex3

(This is for the BUZZ online school) 1) The leg of a right triangle is 2 units and the hypotenuse is 3 units. What is the length, in units, of the other leg of the triangle? (5 points)

a. Square root of 5 units

b. Square root of 13 units

c. 5 units

d. 13 units

2) What is the length of the hypotenuse of a right triangle if each of the two legs is 4 units?

a. Square root of 8 units

b. 4 units

c. Square root of 32 units

d. 8 units

3) Triangle PQR is formed by the three squares A, B, and C:

A right triangle PQR is shown. On the side PQ of this triangle is a square. Inside the square is written Square A, Area equal to 9 square units. On the side QR of this triangle is another square. Inside the square is written Square B, Area equal to 16 square units. On the side PR of this triangle is another square. Inside the square is written Square C, Area equal to 25 square units.

Which statement best explains the relationship between the sides of triangle PQR?

a. (PQ)2 + (QR)2 = (PR)2, because 9 + 16 = 25

b. PQ + QR = PR, because 9 + 16 = 25

c. (PQ)2 + (QR)2 = (PR)2, because 52 + 32 = 42

d. PQ + QR = PR, because 52 + 32 = 42

4) The legs of a right triangle are 3 units and 6 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth.

a. 5.20 units

b. 6.71 units

c. 9.00 units

d. 18.00 units

(03.02 LC)

5) Sandra calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle is it?

Four triangles A, B, C, D are shown from left to right. Triangle A has two sides labeled 6 each, and the included acute angle is shown. Triangle B has one side labeled as 2 and the other as 3, and the included obtuse angle is shown. Triangle C has one side labeled as 6 and the other as 7, and the included acute angle is shown. Triangle D has one side labeled as 2 and the other as 3, and the included right angle is shown.

a. A

b. B

c. C

d. D

6) What is the length of the third side of the window frame below?

(Figure is not drawn to scale.)

A picture of a right triangular window frame is shown. The longest side has length labeled as 52 inches. The height of the frame is labeled as 48 inches.

a. 10 inches

b. 12 inches

c. 16 inches

d. 20 inches

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