Anyone know the answer???

Yes.

Step-by-step explanation:

This is a right triangle, so the Pythagorean Theorem applies.

Step 1: Define.

The Pythagorean Theorem states that the legs of the triangle, squared, must be equal to the hypotenuse, squared.

The legs of a right triangle are the sides that make the right angle.

The hypotenuse is the longest side.

Step 2: Solve.

6 in. and 8 in. are the legs of the triangle.

10 in. is the hypotenuse.

Now, we simply plug the numbers into the formula.

If the legs of the triangle, squared, is equal to the hypotenuse, squared, then the side lengths can make a right triangle.

I, therefore, believe that the side lengths can make a right triangle.

i got 142 as my answer

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240