3. The base of a triangle is one half as long as it’s height. If the area of a triangle is 169 square yards, find its height.

Answer 1

Here's what we know:

A = ¹/₂ bh (the area of a triangle is half the base times height)

b = ¹/₂ h (The base is half the length of height)

A = 169 (Area is 169 yards squared)

Plug in the values for known variables:

169 = ¹/₂ * ¹/₂ h * h

169 = ¹/₄ h²

Multiply both sides by 4:

676 = h²

Square root:

26 = h

check:

b = ¹/₂ * 26

b = 13

169 = ¹/₂ * 13 * 26

169 = 13 * 13

169 = 169