SOLUTION: The figures are similar. Find the area. The area of triangle ABC is 15 square cm. The height of triangle ABC is 5 cm and the height of triangle DEF is 13 cm. Find the area of tr

Question 1097349: The figures are similar. Find the area.
The area of triangle ABC is 15 square cm. The height of triangle ABC is 5 cm and the height of triangle DEF is 13 cm. Find the area of triangle DEF. Round to the nearest square cm if necessary.

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
For similar shapes (triangles, pyramids, circles, spheres, or any other kind of 2-D or 3-D shape),
if the ratio of corresponding lengths is .
the ratio of corresponding surfaced areas is , and
the ratio of volumes (if they are 3-D shapes) is .
You can see that is true for squares and cubes,
but you can make any shape you want with a very large number
of much smaller squares or cubes.

In this case, the height of triangle DEF is times the height of triangle ABC,
so the area of DEF is times the area of ABC.
That would be, in square cm,
.
It rounds to .

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