An artist is deciding between two different triangular shapes to use for a sculpture. the first triangle has a base of 20 feet and a height of 5 feet. the second triangle has a base of 25 feet. if the triangles have the same area, what is the height of the second triangle

1 answer

We can use the formula for the area of a triangle which is:

Area = (base * height) / 2

Since the first triangle has a base of 20 feet and a height of 5 feet, we can calculate its area:

Area of first triangle = (20 * 5) / 2 = 50 square feet

Since the two triangles have the same area, we can set the equation:

(25 * height) / 2 = 50

Simplifying the equation, we get:

25 * height = 100

Dividing both sides by 25, we get:

height = 4

Therefore, the height of the second triangle is 4 feet.