Question

The base of a triangle is three times it's height. If the area of a triangle is 54 square inches ,find its height.

Answer 1

The height of the triangle is: 6 inches

Step-by-step explanation:

Given

Area = A = 54 square inches

Let be be the base of the triangle and

h be the height

Then

b = 3h

The area of triangle is given by:

$Area = 0.5 * base * height\\Putting\ values\\54 = 0.5 * 3h * h\\54 = 1.5h^2\\\frac{54}{1.5} = \frac{1.5h^2}{1.5}\\h^2 = 36$

Taking square root on both sides

$\sqrt{h^2} = \sqrt{36}\\h = 6$

Hence,

The height of the triangle is: 6 inches

Keywords: Linear equations, square roots

Learn more about square root at:

• brainly.com/question/8811218
• brainly.com/question/7419893

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