Question

9. A triangle has an area of 36 yd2 and a base of 3 yd, what is the height of the triangle?

Answer 1

`\boxed {\boxed {\sf 24 \ yards}}`

Explanation:

The formula for a triangle's area is:

`a= (1)/(2) bh`

We know the area is 36 square yards and the base is 3 yards.

`a= 36 \ yd^2 \\b= 3 \ yd`

Substitute the values into the formula.

`36 \ yd^2 = (1)/(2) (3 \ yd )h`

Divide by 1/2 or multiply both sides by 2.

`2 * 36 \ yd^2 = (1)/(2) (3 \ yd )h *2`

`72 \ yd^2= (3 \ yd)h`

We are trying to solve for the height, so we must isolate that variable. h is being multiplied by 3. The inverse of multiplication is division, so we must divide both sides by 3 yd.

`\frac {72 \ yd^2}{3 \ yd}= ((3 yd) h)/(3 \ yd)`

`24 \ yd =h`

The height of the triangle is 24 yards.

Answer 2

24yards

Explanation: