SOLUTION: In a right triangle ABC , measure of angle C=90 degrees. If AB=6x-1, BC=4x+6 and AC=2x+1, find x.
Algebra.Com
Question 1072815: In a right triangle ABC , measure of angle C=90 degrees. If AB=6x-1, BC=4x+6 and AC=2x+1, find x.
Found 2 solutions by Fombitz, MaxWong:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Only positive x values make sense here,
Answer by MaxWong(38) (Show Source): You can put this solution on YOUR website!
(2x+1)^2 + (4x+6)^2 = (6x-1)^2
4x^2 + 4x + 1 + 16x^2 + 48x + 36 = 36x^2 - 12x + 1
20x^2 + 52x + 37 = 36x^2 - 12x + 1
16x^2 - 64x - 36 = 0
x = AMP Parsing Error of [(-(-64)+-sqrt*((-64)^2-(4)(16)(-36)))/(2(16))]: Invalid function '*((-64)^2-(4)(16)(-36)))/(2(16))': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.
=
x = 9/2 or -1/2(rejected)
RELATED QUESTIONS
in right triangle ABC, AB=20, AC=12, BC=16, and the measurement of angle c=90 degrees .... (answered by nyc_function)
in right triangle ABC, AB=20, AC=12, BC=16 and angle c is 90 degrees. find to the nearest (answered by Alan3354)
In triangle ABC, the measure of angle C=90, the measure of angle B=30, AC=6x^2-4x, and... (answered by ankor@dixie-net.com)
in triangle abc, measure of angle c is 90 degreese. if AC is 6 and BC is 8, find... (answered by MathLover1)
In right triangle ABC, AB= 20, AC = 12, BC = 16, and m angle C = 90. Find, to the nearest (answered by Fombitz)
if in triangle ABC, the measure of angle B is greater than 90 degrees, and AB= BC, what... (answered by MathLover1)
In the accompanying diagram of right triangle ABC, AB = 5000 and angle C =90 degrees. If... (answered by fractalier)
In triangle ABC , measure angle A equals 30 dregrees and measure angle C equals 90... (answered by edjones)
In right triangle ABC where angle A is 90 degrees, AC = 3x and BC = 5x. if the perimeter... (answered by edjones,drk)