SOLUTION: in a right triangle the measures of the legs are 8 and x+6, and the measure of the hypotenuse is x+8. solve for x
Algebra.Com
Question 294613: in a right triangle the measures of the legs are 8 and x+6, and the measure of the hypotenuse is x+8. solve for x
Answer by Greenfinch(383) (Show Source): You can put this solution on YOUR website!
Using Pythagoras
8^2 + (X + 6)^2 = (X + 8)^2
64 + X^2 + 12X + 36 = X^2 + 16X + 64
12X +36 = 16X
4X = 36
X = 9
Check sides are 8, 15, 17 which is a right-angled triangle
RELATED QUESTIONS
In a right triangle, the measures of the legs are 8 and x+6, and the measure of the... (answered by richwmiller)
in a right triangle the measure of the legs are 16 and x+10 and the measure of the... (answered by JulietG)
in a right triangle the measures of the legs are 16 and x+10 and the measure of the... (answered by JulietG)
The legs of a right triangle measure 3x and 15. If the hypotenuse measures 3x + 3, what... (answered by stanbon)
The hypotenuse of a right triangle measures 2x+4. The legs of the right triangle measures (answered by LinnW)
If a right triangle has legs of 6 cm and 8 cm, then the hypotenuse is... (answered by nerdybill)
What is the length of the hypotenuse in a triangle whose legs measure 8 inches and 6... (answered by jim_thompson5910)
How many right triangles might have a hypotenuse that measures 4x+5 in inches? And legs... (answered by solver91311)
Two legs of a right triangle are x and x+7. If the hypotenuse is 13, then find... (answered by solver91311)