Question

Find the value of x.

10 cm
15 cm
X
Give your answer correct to 1 decimal place.

Answer 1

x ≈ 11.2 cm

Explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other two sides , that is

x² + 10² = 15²

x² + 100 = 225 ( subtract 100 from both sides )

x² = 125 ( take square root of both sides )

x =
`√(125)` ≈ 11.2 ( to 1 decimal place )