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The base will be 12 inches, while the height will be 8 inches. Therefore, the area, 0.5 (ah) = 0.5 x 12 x 8 = 48 square inches.

Now whyWe are working with ratios, so we need to find the two numbers which maintain the ratio whilst giving the correct area.

The area is 482inches. Let's look at the ratio 3:2 and expand it until we reach two numbers that are also factors of 48, that is, make each side of the ratio larger, but keep the basic ratio the same. A triangle's area is calculated as half the base X the perpendicular height. This means that whatever we find, for the base, we need to halve it.

BaseHeightBase

2Area 3"2"1.5"32" 6"4"3"122" 9"6"4.5"272" 12"8"6"482"

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Q: The area of a triangle is 48 square inches The ratio of the base to its height is 3 to 2 What is the triangles base and height?
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