Question

A triangle has an area of 127.4 square centimeters and a base of 18.2 centimeters. What is the height?

Answer 1

To find the height of a triangle, you can use the formula for the area of a triangle:

Area = (1/2) * base * height

In this case, the area is given as 127.4 square centimeters, and the base is 18.2 centimeters. Let's solve for the height:

127.4 = (1/2) * 18.2 * height

To isolate the height, we can divide both sides of the equation by (1/2) * 18.2:

height = 127.4 / ((1/2) * 18.2)

Simplifying further:

height = 127.4 / 9.1

height ≈ 14

Therefore, the height of the triangle is approximately 14 centimeters.

Answer 2

14

Step-by-step explanation:1/2 x base x height = 127.4

1/2 x 18.2(the given base) x h(height) = 127.4

18.2 x h = 127.4 x 2

18.2h = 254.8

h= 254.8 divided by 18.2

h=14