Question

The triangle in the diagram represents a mold that Anna uses to shape dough before baking. Anna also has a circular mold whose rim just fits inside the rim of the triangular mold. What is the radius of the circular mold?

Answer 1

Answer:

5.35 cm

Step-by-step explanation:

It's correct on Plato.

Answer 2

For the answer to the question above,
The triangle can be divided into 2 right triangles with 10 cm base, 18 cm hypotenuse. We need to find the measure of the long side to get the height of the isosceles triangle.

a² + b² = c² 
a² + (10cm)² = (18cm)² 
a² = 324 cm² - 100 cm²
a² = 224 cm²
a = √224 cm²
a = 14.97 cm

Area = 1/2 * base * height
A = 1/2 * 20 cm * 14.97 cm
A = 149.70 cm²

A = r/2 * p
149.70 cm² = r/2 * (18cm+18cm+20cm)
149.70 cm² = r/2 * 56 cm
149.70 cm² ÷ 56 cm = r/2
2.67 cm = r/2
2.67 cm * 2 = r
5.34 cm = r
So the answer to this question is
5.35 cm is the radius