SOLUTION: the square of the hypotenuse of this triangle is 400 cm. Determine the actual measures of the hypotenuse and sides a and b of this right triangle.

Algebra ->  Pythagorean-theorem -> SOLUTION: the square of the hypotenuse of this triangle is 400 cm. Determine the actual measures of the hypotenuse and sides a and b of this right triangle.      Log On


   

Question 388931: the square of the hypotenuse of this triangle is 400 cm. Determine the actual measures of the hypotenuse and sides a and b of this right triangle.
Found 3 solutions by rfer, ewatrrr, Alan3354:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
12, 16, 20 triangle

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         



square of the hypotenuse of this triangle is 400 cm

Determine the actual measures of the hypotenuse and sides a and b of this right triangle

using the Pythagorean theorem

(20m)^2 = a^2 + b^2

 400 m^2 = a^2 + b^2

IF a = 16m  and b = 12m

THEN: 400 m^2 = 256 m^2 + 144 m^2

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
the square of the hypotenuse of this triangle is 400 cm. Determine the actual measures of the hypotenuse and sides a and b of this right triangle
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Insufficient info.
It could be 20, 16 & 12, or
20, 10 and sqrt(300), or any of an ifinite # of combinations.