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Find length of the hypotenuse in a right triangle with legs of 8cm and 15 cm

Sagot :

irspow

Answer:

Step-by-step explanation:

h^2=x^2+y^2, in this case

h^2=8^2+15^2

h^2=64+225

h^2=289

h=17cm

Answer:

17 cm

Step-by-step explanation:

The Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse

Plug in the values of the legs

[tex]8^2+15^2=c^2\\64+225=c^2\\289=c^2\\c=\sqrt{289} \\c=17[/tex]

Therefore, the length of the hypotenuse is 17 cm.

I hope this helps!