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rewona [7]
3 years ago
11

The hypotenuse of a right triangle is twice the length of one of its legs. Th length of the other leg is three feet. Find the le

ngths of three sides (in feet).
Mathematics
1 answer:
IgorLugansk [536]3 years ago
7 0
Let
x----> the length side of the hypotenuse
y----> the length side of the <span>unknown leg

we know that
x=2*y----> equation 1
applying the Pythagoras Theorem
x</span>²=y²+3²-----> equation 2

substitute equation 1 in equation 2
[2*y]²=y²+3²----> 4*y²-y²=9-----> 3*y²=9----> y²=3
y=√3 ft
x=2*y----> x=2*√3 ft

the answer is
<span>the lengths of the three sides are
</span>hypotenuse=2√3 ft
one leg=√3 ft
other leg=3 ft

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