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.

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

$ 129.82 because it is to the nearest cent

Answer 2

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Explanation:

By pythagorean theorum we calculate the height:

`√(5^2-1^2)`

=
`√(24)` = height of triangle

area of triangle = base * height

area =
`2*√(24)`

There are two triangles so:

`2*2*√(24)=4√(24)`

Multiply this by 13.25 to get total cost:

=$259.65