Question

select the correct answer from each drop-down menu.
△abc has side lengths of 10 units, 20 units, and 24 units. △xyz is similar to △abc, and the length of its longest side is 60 units.
the perimeter of △xyz is dropdown units. if the height of △abc, with respect to its longest side being the base, is 8 units, the area of △xyz is dropdown square units.
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Explanation:

Step1: Find similarity ratio

Longest side of ΔABC = 24, ΔXYZ = 60. Ratio $k = \frac{60}{24} = 2.5$

Step2: Calculate perimeter of ΔABC

Perimeter = 10 + 20 + 24 = 54

Step3: Find perimeter of ΔXYZ

Perimeter = 54 × 2.5 = 135

Step4: Calculate height of ΔXYZ

Height of ΔABC = 8. Height of ΔXYZ = 8 × 2.5 = 20

Step5: Find area of ΔXYZ

Area = $\frac{1}{2}×base×height = \frac{1}{2}×60×20 = 600$

Answer:

135
600