Question

Find the area and perimeter.

Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex.

12x + 72; 10x + 3
6x + 36; 10x + 3
12x + 72; 3x + 10
6x + 36; 3x + 10

Answer 1

Area = 6x + 36

Perimeter = 3x + 10

Explanation:

Sides of the triangle: 12 ; (x - 7) & (2x + 5)

Perimeter of the triangle = sum of all the sides

= 12 + x - 7 + 2x + 5

= 2x + x + 12 - 7 + 5 {Combine like terms}

= 3x + 10

Area of triangle:

Base = 12 & height = h = x +6

`Area = (1)/(2)b*h\\\\=(1)/(2)*12*(x+6)\\\\`

= 6 *(x + 6) {Use distributive property}

= 6*x + 6*6

= 6x + 36