Question

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=35 centimeters and b=84 centimeters, what is c? If necessary, round to the nearest tenth.

Answer 1

Question -:

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=35 centimeters and b=84 centimeters, what is the value of c?

Explanation -:

In this question it is given that a = 35 and b = 84 cm. We are asked to calculate c's value.

Using Pythagoras Theorem

• a² + b² = c²

35² + 84² = c²

→ 1225 + 7056 = c²

→ 8,281 = c²

→ √8,281 = c

→ 91 = c

Hence the value of c is 91.

Answer 2

c=91.0

Explanation:

Givens

a = 35

b = 84

c = ?

Formula

a^2 + b^2 = c^2

Solution

c^2 = 35^ + 84^2 Find the values of a^2 and b^2

c^2 = 1225 + 7056 Combine

c^2 = 8281 Take the square root of both sides

√c^2 = √8281

c = 91.0