Question - Find Missing Base Length of Larger Triangle with Given Ratio
Solution:
The image shows two triangles, one larger and one smaller, with the ratio of the larger triangle to the smaller triangle being given as 3. The larger triangle has side lengths of 18, 21, and the base is not labeled. The smaller triangle has side lengths of 5 and 6, with the base also not labeled.To find the missing base length of the larger triangle, we need to use the given ratio which applies to corresponding sides of similar triangles. We can see that the larger triangle's sides are 3 times longer than the corresponding sides of the smaller one (because 15 x 3 = 45 and 18 x 3 = 54, with 18 being analogous to 6, so we can find the analogous side to 5 in the smaller triangle by multiplying 5 by 3).Given the ratio is 3, and one side of the smaller triangle is 5, the corresponding side on the larger triangle should be 5 x 3 = 15.Therefore, the base of the larger triangle is 15 units long.
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