two sides of an isosceles triangle are length x if theperimeter of the triangle is 50 find the area of thr triangle as a functio

Question

2 years ago

9

n of x

1 answer:

Bond [772] · Answer 1 · 2024-01-05T12:23:31+03:00

the area equation in terms of x is:

A = (25 - x)*√( -25^2 + 50*x)

<h3>How to find the area of the triangle?</h3>

Here we know that we have an isosceles triangle with two sides measuring x and a perimeter of 50 units.

Then if the other side measures y, we can write the perimeter as:

P = x + x + y

Now we can write:

50 = x + x + y

y = 50 - 2x

Now, for an isosceles triangle of sides x, x, and y, the area is:

A = y*√(x^2 - (y/2)^2)/2

Replacing y in that equation, we will get:

A = (50 - 2x)*√(x^2 - (25 - x)^2)/2

A = (25 - x)*√(x^2 - x^2 - 25^2 + 2*25*x)

A = (25 - x)*√( -25^2 + 50*x)

That is the area equation in terms of x.

If you want to learn more about triangles:

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