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"
The first is clearly not a suitable triangle.
35 square inches
Area of the triangle: 0.5*6*4 = 12 square inches
32 inches
35 square inches
The first is clearly not a suitable triangle.
35 square inches
30 square inches. Area of triangle = (base x height) divided by 2.
Area of the triangle: 0.5*6*4 = 12 square inches
63 square inches
20 inches
32 inches
The length of a triangle with a height of 12 inches and an area of 18 square inches is 3 inches, since area is 1/2 * base * height. Therefore, 2 * area divided by height = 2 * 18 /12 = 3
area of a triangle = .5 * base * height In this case .5 * 9 * 14 = 63 square inches
Area of triangle: 0.5*12*4 = 24 square inches
4 inches
14 inches