Question

Find the length of a diagonal of a rectangle if the length of the rectangle is 24 cm and its width is 10 cm. A) 22 cm B) 26 cm C) 34 cm D) 36 cm
Which of the choices shown are the lengths of the sides of a right triangle?
A) 1, 1, 2
B) 5, 6, 12
C) 3, 5, 8
D) 10, 24, 26

A ramp was constructed to load a truck. If the ramp is 10 feet long and the horizontal distance from the bottom of the ramp to the truck is 8 feet, what is the height from the ground to the top of the ramp ?
A) 3.0 ft
B) 4.5 ft
C) 5.0 ft
D) 6.0 ft

Answer 1

First Problem

Use the Pythagorean theorem.

a^2 + b^2 = c^2

24^2 + 10^2 = c^2

576 + 100 = c^2

676 = c^2

c^2 = 676

c = 26

Answer: B) 26 m

Second Problem

From the first problem, we know that the lengths 10, 24, 26 work in the Pythagorean theorem, so the answer is D) 10, 24, 26

Third Problem

Use the Pythagorean theorem.

a^2 + b^2 = c^2

8^2 + b^2 = 10^2

64 + b^2 = 100

b^2 = 36

b = 6

Answer: D) 6.0 ft

Answer 2

Your answers are
1.B
2.D
3.A