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If the area of a triangle is 135 cm², and the base of the triangle is 15 cm, what is the height of the triangle?

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Final answer:

To find the height of the triangle, you can rearrange the formula for the area of a triangle. The height of the triangle is 18 cm.

Step-by-step explanation:

To find the height of the triangle, we can rearrange the formula for the area of a triangle to solve for the height. The formula for the area of a triangle is 1/2 × base × height. We are given that the area is 135 cm² and the base is 15 cm. Plugging these values into the formula, we get: 135 cm² = 1/2 × 15 cm × height. Next, we solve for height by dividing both sides of the equation by 1/2 × 15 cm, which simplifies to multiplying both sides by 2/15 to isolate height.

So, height = (135 cm² × 2) / (1/2 × 15 cm).

Using the calculated value of height = 18 cm.

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