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?
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
