Question

Martina is making a stained glass window and needs to reduce a triangular part of her design. The original triangle has sides of 24, 24, and 36 centimeters. If the longest side of the new triangle is 15 centimeters, what must the lengths of each of the other two sides be to make the triangles similar?

Answer 1

Answer:

10 , 10 centimeters.

Step-by-step explanation:

The original triangle has sides of 24, 24, and 36 centimeters

So, the sides represents an isosceles triangle.

The longest side of the new triangle is 15 centimeters.

The triangles are similar, so the length of sides are in proportion.

Let the length of the other two sides of the new triangle = x

∴ $\frac{x}{24} = \frac{15}{36}$

∴ x = 24 * 15/36 = 10

so, the other two sides of the triangles = 10 and 10 centimeters