Question

The right triangle below is dilated by a scale factor of 55. Find the perimeter and area of the right triangle below, as well as the perimeter and area of the dilated right triangle. Express your answers as whole numbers, decimals, or fractions in simplest terms (no mixed numbers). Figures are not necessarily drawn to scale.

witch the first triangle is 15 top 17 bottem and 8 on the right side

Answer 1

I want to confirm one thing before finishing: did you mean a scale factor of 55 (fifty-five) or a different number (for example 5 or 5/5)? I’ll show the general method and then give the answers assuming the scale factor is 55.

Original triangle (legs 8 and 15, hypotenuse 17)
- Perimeter = 8 + 15 + 17 = 40
- Area = (1/2)·8·15 = 60

For a dilation with scale factor k:
- Each side length multiplies by k, so perimeter multiplies by k.
- Area multiplies by k^2.

If k = 55:
- New side lengths: 8·55 = 440, 15·55 = 825, 17·55 = 935
- Dilated perimeter = 40·55 = 2200
- Dilated area = 60·55^2 = 60·3025 = 181500

Tell me if the scale factor was something else and I’ll recalculate.