SOLUTION: In a right triangle, the long leg is three times the length of the short leg. The hypotenuse is the square of the short leg. Find the exact perimeter and area of this triangle.

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Question 1027140: In a right triangle, the long leg is three times the length of the short leg. The hypotenuse is the square of the short leg. Find the exact perimeter and area of this triangle.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x  short leg
3x  long leg
x^2  hypotenuse


Pythagorean Formula gives this: x%5E2%2B%283x%29%5E2=x%5E2


x%5E2%2B9x%5E2=x%5E2

9x%5E2=0

x%5E2=0

x=0
The description does not work.

You should expect from the long and short legs is x%5E2%2B9x%5E2 is the square of the hypotenuse, which is 10x%5E2. You will then have hypotenuse is x%2Asqrt%2810%29.
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The perimeter should be 3x%2Bx%2Bx%2Asqrt%2810%29=4x%2Bx%2Asqrt%2810%29.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

In a right triangle, the long leg is three times the length of the short leg. The hypotenuse is the square of the short leg. Find the exact perimeter and area of this triangle.
Short leg: sqrt%2810%29

Long leg: 3sqrt%2810%29

Hypotenuse: 10

Perimeter: 10+%2B+4sqrt%2810%29

Area: highlight_green%28matrix%281%2C3%2C+15%2C+sq%2C+units%29%29