Question

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=2.7 yards and b=1.6 yards, what is c? If necessary, round to the nearest tenth.

Answer 1

`\huge\boxed{\sf c = 3.1\ yards}`

Explanation:

Given that,

a = 2.7 yards

b = 1.6 yards

c = hypotenuse

Using Pythagoran Theorem:

`c^2=a^2+b^2`

• Put the given data.

c² = (2.7)² + (1.6)²

c² = 7.29 + 2.56

c² = 9.85

• Take square root on both sides

c = √9.85

c = 3.1 yards

`\rule[225]{225}{2}`