Question

Find the value of x in the isosceles triangle shown below.

Answer 1

Explanation:

ΔABD ≅ ΔACD {A S A congreunt}

∠ADB ≅ ∠ADC {CPCT}

∠ADB + ∠ADC = 180 {linear pair}

2∠ADB = 180

∠ADB = 180/2

∠ADB = 90

∠ADB = ∠ADC = 90.

So, now we can use Pythagorean theorem to find x

x² = 8² - 2²

= 64 - 4 = 60

x = √60