A triangle has a square on its three sides as shown below. What is the value of x
2 answers:
das is part of a proof of pythagorean theorem
for a right triangle (has one interior angle as 90 degrees)
a and b are the lengths of the legs and c=length of hypotnuse (side oposite right angle)
we see that the lengths of the legs are 9in and 12in
a=9 and b=12 (or a=12 and b=9, doesn't matter)
we want to find c, or x in this case
so
x=15in
answer is 15 inches
using the pythagorean theorem
a^2+b^2 = c^2 where c is the hypotenuse
9^2 +12^2 = x^2
81 + 144 = x^2
225 = x^2
taking the square root of each side
sqrt(225) = x
15 =x
x = 15 inches
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