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

Answer:

24yards

Step-by-step explanation:

Answer 2

Answer:

$\boxed {\boxed {\sf 24 \ yards}}$

Step-by-step explanation:

The formula for a triangle's area is:

$a= \frac{1}{2} bh$

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.

$36 \ yd^2 = \frac{1}{2} (3 \ yd )h$

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

$2 * 36 \ yd^2 = \frac{1}{2} (3 \ yd )h *2$

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

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.

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

$24 \ yd =h$

The height of the triangle is 24 yards.