Question

Find the side of the triangle. Round your result to two decimal places.

Answer 1

x ≈ 32.14

Explanation:

using Pythagoras's identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

here hypotenuse = 35.6 and 2 sides are x and 15.3 , then

x² + 15.3² = 35.6²

x² + 234.09 = 1267.36 ( subtract 234.09 from both sides )

x² = 1033.27 ( take square root of both sides )

x =
`√(1033.27)` ≈ 32.14 ( to 2 decimal places )

Answer 2

32.14

Explanation:

This is a right triangle.

• In right triangles, the square value of hypotenuse is equal to the sum of square value of legs.

(35.6)² = (15.3)² + x²

• Find the square values for each expression.

1,267.36 = 234.09 + x²

• Subtract 234.09 from both sides.

1,033.27 = x²

• Find the root of both sides.

32.1445174174 = x

Since the number after the second decimal is smaller than 5, the rounded value is 32.14