Question

Given that

a= 6 m, work out x
Give your answer as an exact surd in its simplest form.

Diagrams are not to scale

Answer 1

x=x; a=6
x^2 + x^2 = 6^2 (pythagorean theorem)
2x^2 = 36
x^2 = 36/2 = 18
x = square root of 18
x = 2.62 (to the nearest hundredth)