Two isosceles triangles have equal vertical angles and their corresponding sides are in the ratio 3:5. What is the ratio of their areas? |
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(a) |
3:5 |
(b) |
6:10 |
(c) |
9:25 |
(d) |
None of these |
Two isosceles triangles have equal vertical angles and their corresponding sides are in the ratio 3:5. What is the ratio of their areas? |
|||||||
(a) |
3:5 |
(b) |
6:10 |
(c) |
9:25 |
(d) |
None of these |
Since vertical angles are equal and corresponding sides are proportional, the two triangles are similar. So, the ratio of their areas is equal to the ratio of the squares of their corresponding sides.
Ratio of their areas =