Gary used landscape timbers to create a boarder around a garden shaped like a right triangle. The longest two timbers he used are 12 feet and 15 feet long. Which is closest to the length, in feet, of the shortest timber?

A. 5.2

B. 3

C. 7.3

D. 9

Question

Mathematics

Guest

30 July, 05:23

Gary used landscape timbers to create a boarder around a garden shaped like a right triangle. The longest two timbers he used are 12 feet and 15 feet long. Which is closest to the length, in feet, of the shortest timber?

A. 5.2

B. 3

C. 7.3

D. 9

+1

Answers (1)

Know the Answer?

Dereon Sherman · Answer 1

The answer to your question is letter D

Step-by-step explanation:

Data

hypotenuse = h = 15 ft

adjacent leg = a = 12 ft

opposite leg = b = ?

Formula

We must use the Pythagorean theorem to solve this problem

h² = a² + b²

Substitution

Solve for b

b² = h² - a²

b² = 15² - 12²

b² = 225 - 144

b² = 81

Result

b = 9 ft

Gary used landscape timbers to create a boarder around a garden shaped like a right triangle. The longest two timbers he used are 12 feet and 15 feet long. Which is closest to the length, in feet, of the shortest timber?A. 5.2B. 3C. 7.3D. 9

Gary used landscape timbers to create a boarder around a garden shaped like a right triangle. The longest two timbers he used are 12 feet and 15 feet long. Which is closest to the length, in feet, of the shortest timber?

A. 5.2

B. 3

C. 7.3

D. 9