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jonny [76]
3 years ago
8

Find the length of XY

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
7 0

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.

Firdavs [7]3 years ago
4 0

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 <u>side1 = 1.5 and side 2 = 1.7</u>

<u />

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

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