SOLUTION: Find the area. leg is 12 leg is x+4 hypotenuse is 2x

Question 308232: Find the area.
leg is 12
leg is x+4
hypotenuse is 2x
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
one leg 12
another leg x+4
Hypotenuse = 2x
Area of a right triangle = = 1/2 * one leg * second leg
Area = 1/2 * 12*(x+4)
Area = 6x +24
..
..
(2x)^2= 12^2 + (x+4)^2
4x^2 = 144 +x^2 +8x+16
3x^2-8x-160=0
Use quadratic equation formula for roots x1,x2
x1= -(-8) + sqrt (-8)^2-4*3*(-160) / 2*3
x1= 8 + sqrt 64+1920 / 6
x1= 8.75
..
x2 =8 - sqrt 64+1920 / 6
x2= -6.09 ( this is not possible)
x= 8.75
Area= 6x+24
plug the value of x
6*8.75+24
= 76.5 square units

RELATED QUESTIONS
The hypotenuse of a right triangle is represented by 2x-3 and one leg is x. The other leg (answered by brysca)

find x when the long leg is 12, the short leg is x, and the hypotenuse is... (answered by waynest)

what is the value of "x" in simplest radical form? 1. leg:35 leg:12... (answered by Fombitz)

A right triangle has a hypotenuse of 1. One leg is x. The other leg is (x - 7). Find the (answered by josgarithmetic,ikleyn,math_tutor2020)

Find the leg of a right triangle if one leg is 8 and the hypotenuse is... (answered by jim_thompson5910)

find x when the hypotenuse is x, the long leg is (x-2), the short leg is... (answered by stanbon)

find x when the long leg is 4(x+2), the short leg is (x+3) and the hypotenuse is... (answered by xinxin)

Find the given variables of x in triangle if 16 if the hypotenuse and 12 is the long leg. (answered by ewatrrr)