Question

Jackie makes silver and gold charms for charm bracelets. The charms are similar isosceles triangles. The gold charm has a base of 6 mm and an area of 15 mm. The silver charm has a base of 9 mm. What is the area of the silver char

Answer 1

The area of silver charm is 33.75 square mm.

Explanation:

We are given the following in the question:

The silver and golden charms are similar isosceles triangles.

Gold charms:

Base = 9 mm

Area = 15 square mm

Silver charm:

Base = 9 mm

Property of similar triangles:

• If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

Using this property we can write:

`\frac{\text{Area of gold charm}}{\text{Area of silver charm}}=\frac{(\text{Base of gold charm})^2}{(\text{Base of silver charm})^2}\\\\=\frac{15}{\text{Area of silver charm}}=(6^2)/(9^2)\\\\\text{Area of silver charm} = (15* 9^2)/(6^2) = 33.75\text{ mm}`

Thus, the area of silver charm is 33.75 square mm.