Question

A rectangle has a side length of 2x and a diagonal of 8x. What is the missing lenght?

Answer 1

2x
`√(15)`

Explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a =
`√(4)`·
`√(15)` ·
`√(x^2)`

This can be simplified to be 2x
`√(15)`