Question

Does anybody know this? I keep getting the wrong answer. ABC~PRT AC=15 BC=12 and PT=6 find the ares of ABC if the area of PRT=24mm^2

Answer 1

The area of triangle ABC is 60 mm^2

Explanation:

x = the area of triangle ABC

15/6 * x/24

x=60

Answer 2

(d) 150 mm²

Explanation:

The scale factor between the triangles is the ratio of the lengths of corresponding sides. The area ratio is the square of the scale factor.

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scale factor

ΔABC is larger than ΔPRT by the factor ...

AC/PT = 15/6 = 5/2

area

The area of ΔABC is the square of this factor times the area of ΔPRT:

area ABC = (5/2)²×area PRT

area ABC = (25/4)×(24 mm²)

area ABC = 150 mm²