Question

Find the length of XY

Answer 1

Since this is a right triangle, you can use the pythagorean theorem,
`leg^2+leg^2=hypotenuse^2`, to find XY. Since we know that 15 and 17 are our legs and that XY is the hypotenuse, we can solve it as such:

`15^2+17^2=XY^2\\ 225+289=XY^2\\ 514=XY^2\\ √(514)=XY`

In short, XY is √514, or 22.67 rounded to the hundreths, units long.

Answer 2

Therefore the length of XY (the hypotenuse) is 2.26

Explanation:

This is a rectangle triangle, so we can use the Pythagoras theorem which tells us that h² = side1² + side2² where h = hypotenuse

In this picture we are missing the hypotenuse and we have side1 = 1.5 and side 2 = 1.7

So we are going to substitute in the formula and solve for h

`h^(2) =side1^(2)  + side2^(2) \\h^(2) = 1.5^(2) +1.7^(2) \\h^(2) = 2.25 + 2.89\\h^(2) = 5.14\\h=√(5.14) \\h= 2.26`

Thus h = 2.26