Question

Calculate the perimeter of this right- angled triangle. Give your answer in metres (m) to 1 d.p. 7m 16 m​

Answer 1

P = 37.4 m

Explanation:

let the third side of the triangle be x

using Pythagoras' identity in the right triangle.

x² + 7² = 16²

x² + 49 = 256 ( subtract 49 from both sides )

x² = 207 ( take square root of both sides )

x =
`√(207)` ≈ 14.4 m ( to 1 decimal place )

the perimeter (P) is then the sum of the 3 sides

P = 7 + 16 + 14.4 = 37.4 m