Question

What is the perimeter of the triangle?

Answer 1

The perimeter of the triangle is kind of like a path that surrounds a two dimensional shape.

Answer 2

Hey there!

First of all, let's count the sides that we can count.

Our shortest side is 8 units if you count the squares it covers.

Now we can do our other side, which is 15 units when you count.

Now, we need to find our third side, which is the longest. The longest side is the hypotenuse. Because this triangle is a right triangle (it has a ninety degree angle), we can use the Pythagorean Theorem to solve for this side.

The Pythagorean Theorem states that when a triangle is a right triangle,
`a^(2) +b^(2) =c^(2)`, where a and b represent the legs, and c represents the hypotenuse.

So, what we will do now is take the sides we have and solve for our c.

`8^(2) +15^(2) =c^(2) \\64+225=289=c^(2) \\c=√(289) \\c=17`

As you can see, we used the square root to undo the squared c.

Now, we add our three lengths to get our perimeter.

8+15+17=40

Therefore, our perimeter is 40 units.

I hope that this helps you! Have a wonderful day!