If the base of a right -angled triangle
is 7 cm and the height is 24 cm, what
is the length of the hypotenuse of
the triangle?
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Answer:
The Pythagorean theorem states that
A
2
+
B
2
=
C
2
when A and B are the legs of a right triangle and C is the hypotenuse. Re-arranged to solve for the hypotenuse, it looks like this:
C
=
√
A
2
+
B
2
Now we just plug in our values:
C
=
√
7
2
+
24
2
Square the numbers first:
C
=
√
49
+
576
Add:
C
=
√
625
And finally, take the square root:
C=25
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