Answer:
76cm²
Step-by-step explanation:
The triangle from all indication is an isosceles triangle:
Let x represent the side
∴ x = 4 - 6 = -2
x = -2
x + 2 = 0
Using the fomular, as area of triangle, that is:
Area = √s(s - a)(s - b)(s - c)
s = a + b+ c/2, where a = x + 2; b = x+ 2; c = x
∴ s = x + 2 + x + 2 + x/2 = 3x + 4/2
Area = √3x + 4/2( 3x + 4/2 - x - 2)(3x + 4/2 - x - 2)(3x + 4/2 - x)
= √3x + 4/2( x/2)(x/2)(x + 4/2)
= √3x + 4/2(x²/4)(x + 4)/2
Let's assume x = 12
∴ Area = √5760 = 76cm²
