Question

The area of a triangle is 54 cm². The base is 18cm. What is the height of the triangle? Let h represent the

height.

Answer 1

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

Area = (base * height) / 2

We are given that the area is 54 cm² and the base is 18 cm. Let's substitute these values into the formula:

54 = (18 * height) / 2

To solve for the height, we can start by multiplying both sides of the equation by 2:

2 * 54 = 18 * height

108 = 18 * height

Now, divide both sides of the equation by 18 to isolate the height:

108 / 18 = height

Simplifying the expression on the left:

6 = height

Therefore, the height of the triangle is 6 cm.

Explanation:

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Answer 2

the height of the triangle is 6 cm.

Explanation:

To find the height (h) of a triangle when you know its area (A) and the length of its base (b), you can use the formula for the area of a triangle:

A = (1/2) * base * height

In your case, you have:

A = 54 cm² (the area)

base (b) = 18 cm

Now, you can solve for the height (h):

54 cm² = (1/2) * 18 cm * h

First, multiply 18 cm by (1/2):

54 cm² = 9 cm * h

Now, to find the height (h), divide both sides by 9 cm:

h = 54 cm² / 9 cm

h = 6 cm

So, the height of the triangle is 6 cm.