Question

The formula for the area of a triangle is , where b is the length of the base and h is the height.

Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.

Answer 1

h = 24

Explanation:

A = 1/2 b x h

30 = 12/2 x h

30 = 6 x h

-6 -6

24 = h

Answer 2

5 units

Explanation:

area of triangle = (base × height) ÷ 2 or a = (bh)/2

30 = (12 × h)/2

Isolate the variable

30 × 1/12 = (12 × h)/2 × 1/12

Multiplying 1/12 on both sides cancels out the 12 on the right side and transfers it to the left side

2.5 = h/2

2.5 × 2 = h/2 × 2

Multiplying 2 on both sides cancels out the 1/2 on the right side and transfers it to the left side

5 = h