Question

45°

V7
45°
Х
find the length of side x in simplest radical form with a rational denominator

Answer 1

`x = \sqrt{(7)/(2) }`

Explanation:

Explanation

From given graph

AC = √7

Given angle ∝ = 45°

`cos\alpha = (adjacentside)/(Opposite side)`

`cos45 = (x)/(√(7) )`

`(1)/(√(2) ) = (x)/(√(7) )`

`x = (√(7) )/(√(2) )`

`x = \sqrt{(7)/(2) }`

x = 1.8708