Question

The spinner of the compass is two congruent isosceles triangles connected by their bases as shown in the diagram. The base of each of these triangles is 2 centimeters and the legs are 5 centimeters.
2 congruent isosceles triangles are connected by their bases. A circle is drawn around the triangles.

If the metal used to construct the spinner costs $13.25 per square centimeter, how much will it cost to make this part of the compass? Round to the nearest cent.

Cost = $

Answer 1

Applying the area of a rectangle, the cost to make the part of the compass is: $129.85.

What is the Area of a Triangle?

Area of a triangle = 1/2(base)(height).

Find the height of the triangle using the Pythagorean theorem:

Height = √(5² - 1²) ≈ 4.9 cm.

Base = 2 cm

Area of the two triangles = 2[1/2(base)(height)]

Area of the two triangles = 2[1/2(2)(4.9)] = 9.8 cm².

Cost to to make this part of the compass = 9.8 × $13.25 = $129.85.

Learn more about the area of triangle on:

brainly.com/question/17335144

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