Question

Compute the area of triangle, if x equals 4 more than 6. A) 10 B) 50 C) 100 D) 200 E) 400

Answer 1

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