Question

The area of a triangle is 861 square cm. The length of the base is 82 cm. What is the height of the triangle?
A: 10.5 cm
B. 21 cm
C. 42 cm
D. 84 cm
Please help ASAP!!

Answer 1

Hi!

The equation to find the area of a triangle is...

(a = area
b = base
h = height)

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

Fill in the values that we already have.
$861 = \frac{1}{2}82*h$
Divide both sides by 1/2
$861/ \frac{1}{2} = \frac{1}{2}/ \frac{1}{2}82*h$
1722 = 82*h
Divide both sides by 82.
1722/82 = 82/82*h
21 = h

The answer is B. 21 cm

Hope this helps! :)