posted by Lauren on .
Triangles C and D are similar. The area of triangle C is 47.6 in(2). The base of Trianfle D is 6.72 in. Each Dimension of D is 6/5 the corresponding dimension of C. What is the Height of D?
The area of D will be (6/5)² times the area of C, which is (6/5)² x 47.6"² = 68.544"² (don't forget that you need to square that factor of (6/5), because it applies to both the base AND the height). The base of D is 6.72", and the area of a triangle is half the base times the height. You've now got both the area and the base... and the height is half the area divided by the base.
thank you soooo much!
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Er... if the area is half the base times the height, then the height must be TWICE the area divided by the base. Sorry!