Question

The formula for the area, A, of a triangle is A=1/2bh, where b is the base and h is the height of the triangle. Find the area of the triangle

If Area = 1/2(√6)(6√2+√8)=x√y, then

x=___ and y=___

Answer 1

x = 8

y = 3

Explanation:

Area = 1/2 √6 (6√2 + √8) Remove the brackets

Area = 1/2 ( 6*√12+ √48)

Area = 1/2 (6*√12 + 4√3) Multiply by 1/2

Area = 3√12 + 2√3

Area = 3*2√3 + 2√3

Area = 6√3 + 2√3

Area = 8√3