Find the length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length.
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OpenStudy (kropot72):
Do you know the theorem of Pythagoras?
OpenStudy (kropot72):
In any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. So in your question, if we let h be the hypotenuse, we get:
\[h ^{2}=8^{2}+15^{2}\]
Do you know how to find h?
OpenStudy (kropot72):
@Deso Are you there?
OpenStudy (anonymous):
Square them and add?
OpenStudy (sweetburger):
correct @Deso
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OpenStudy (anonymous):
289?
OpenStudy (kropot72):
\[h=\sqrt{8^{2}+15^{2}}=you\ can\ calculate\]
OpenStudy (anonymous):
17
OpenStudy (kropot72):
'17 units' is the correct value for the length of the hypotenuse.
OpenStudy (anonymous):
okay well what about this one? Which of the following is the equation of a circle whose center is at the origin and whose radius is 4?
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OpenStudy (kropot72):
The equation of a circle whose center is at the origin and whose radius is R is:
\[x ^{2}+y ^{2}=R ^{2}\]
Now you should be able to choose the correct answer.