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:

$15^2+17^2=XY^2\\ 225+289=XY^2\\ 514=XY^2\\ \sqrt{514}=XY$

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

Answer 2

Answer:

Therefore the length of XY (the hypotenuse) is 2.26

Step-by-step 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

$h^{2} =side1^{2} + side2^{2} \\h^{2} = 1.5^{2} +1.7^{2} \\h^{2} = 2.25 + 2.89\\h^{2} = 5.14\\h=\sqrt{5.14} \\h= 2.26$

Thus h = 2.26