1. The measures of the corresonding medians in twosimilar triangles are in the r

Question

1. The measures of the corresonding medians in twosimilar triangles are in the ratio 2:3. What is the ratio of thearea of the smaller triangle to the area of the largertriangle? 2. In meters, the diagonals of the two squares measure10 and 20, respectively. Find the ratio of the area of thesmaller square to the area of the larger square. 1. The measures of the corresonding medians in twosimilar triangles are in the ratio 2:3. What is the ratio of thearea of the smaller triangle to the area of the largertriangle? 2. In meters, the diagonals of the two squares measure10 and 20, respectively. Find the ratio of the area of thesmaller square to the area of the larger square.

Explanation / Answer

1. The measures of the corresonding medians in twosimilar triangles are in the ratio 2:3. What is the ratio of thearea of the smaller triangle to the area of the largertriangle?

2. In meters, the diagonals of the two squares measure10 and 20, respectively. Find the ratio of the area of thesmaller square to the area of the larger square.since these are3:4:5 triangles   the area of a triangle with side6+8+10=24
the area of the larger triangle is 12+16+20=48      ratio is 24:48 or1:2

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