SOLUTION: I am trying to find the answer to the following: a. Using the pythagorean theorem, find the perimeter of triangle ABC if the hypotenuse is AB is 20 and the base CB is 16. (heigh

Question 125342: I am trying to find the answer to the following:
a. Using the pythagorean theorem, find the perimeter of triangle ABC if the hypotenuse is AB is 20 and the base CB is 16. (height AC is unknown)
b. Using the pythagorean theorem, find the area of triangle ABC using the information from a above.

Found 3 solutions by josmiceli, Earlsdon, cmerrill666:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

perimeter = 12 + 16 + 20
perimeter = 48
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Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Use the Pythagorean theorem to find the height of a right triangle if the hypotenuse is 20 and the base is 16.
Substitute c = 20, a = 16, and b = h

Subtract 256 from both sides.
Take the square root of both sides.
We discard the negative answer because the height of a triangle is positive.
So the triangle has side: 20, 16, and 12
a) The perimeter is:

b) The area is:
Substitute b = 16 and h = 12.

sq. units.

Answer by cmerrill666(3)   (Show Source): You can put this solution on YOUR website!
a=96
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