Question

∆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 units. If the height of ∆ABC, with respect to its longest side being the base, is 8 units, the area of ∆XYZ is square units.

Answer 1

Answer: Perimeter = 135 units      Area = 1200 Square units

Step-by-step explanation: I think you want the perimeter and area of XYZ so that's what I will answer for.

First, we are given that ABC and XYZ are proportional and that their longest sides are 24 units and 60 units respectively.

Using this, we can say XYZ = ABC * 5/2 (60/24 = 5/2)

Therefore, the other two sides of XYZ are 50 and 25.

We can get the perimeter using 60 + 50 + 25, that equals 135 units

Next, since the height of ABC was 8 units with 24 units being its base, it's likely safe to say the height = 1/3 base

We will apply with to triangle XYZ, height = 1/3 * 60 = 20

20 units * 60 units = 1200 square units

Answer 2

Answer:

Answer:

Perimeter = 135 units    

Area = 1200 Square units