Question

Scott needs to replace a broken window at his house. The window is shaped like a triangle with
dimensions shown below. If glass costs $18.75 per square foot, how much with the replacement
window cost?
(Triangle shown is isoceles with a bottom base of 15. All other measurements are unknown)

Answer 1

Answer:

$\ 1,826.81$

Step-by-step explanation:

The correct question is

Triangle shown is an equilateral triangle with a bottom base of 15 ft

we know that

An equilateral triangle has three equal sides and three equal interior angle (each measure is 60 degrees)

step 1

Find the area of triangle

Applying the law of sines

$A=\frac{1}{2}(15^2)sin(60^o)= 97.43\ ft^2$

step 2

Find the cost

Multiply the area of the window by the unit rate of $18.75 per square foot

$97.43(18.75)=\ 1,826.81$

Answer 2

By googling the problem, I found that it is actually an equilateral triangle. We will find that the answer is $1,826.81

How to find the area of an equilateral triangle?

We know that for an equilateral triangle of side length s the area is given as:

$A = \frac{\sqrt{3} }{4} *s^2$

Then the area of our triangle is:

$A = \frac{\sqrt{3} }{4} *(15ft)^2 = 97.43 ft^2$

And each square foot of glass costs $18.75, so the total cost of the glass will be:

97.43*$18.75 = $1,826.81

If you want to learn more about triangles, you can read:

https://brainly.com/question/17972372