Question

Enter the correct answer in the box.The triangle shown is an isosceles triangle because the lengths of two legs are the same.

Answer 1

`(9)/(2)g^4-18g^3+24g^2\text{ - 12g + 2}`

Explanation

Area of a triangle is

`\text{Area = }(1)/(2)bh`

Note: the base and the height are the same because it's an isosceles triangle

`\text{Area = }(1)/(2)(3g^2\text{ - 6g + 2)}\cdot(3g^2\text{ - 6g + 2)}`

Let's expand the expression

`\text{Area = }(1)/(2)(9g^4-18g^3+6g^2-18g^3+36g^2-12g+6g^2\text{ - 12g + 4)}`