SOLUTION: In triangle ABC, the measure of angle C=90, the measure of angle B=30, AC=6x^2-4x, and AB=2x. Find the value of x.

Question 118270This question is from textbook
: In triangle ABC, the measure of angle C=90, the measure of angle B=30, AC=6x^2-4x, and AB=2x. Find the value of x. This question is from textbook

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
In triangle ABC, the measure of angle C=90, the measure of angle B=30, AC=6x^2-4x, and AB=2x. Find the value of x.
:
After drawing this triangle out it was apparent that we are given the sin of 30:
:
Side opposite: AC = 6x^2-4x and hypotenuse: AB = 2x
;
= sin(30)
=
Cancel out the 2x and you have:
3x - 2 =
3x = + 2
3x = +
x = *
x =
:
:
Check solution using the decimal of (5/6); x = .8333
=
=
= .500, the sine of 30 degrees
RELATED QUESTIONS
In triangle ABC, measure angle A=5x, measure angle B =4x+30,and measure angle C= 80-2x.... (answered by ilana)

In a right triangle ABC , measure of angle C=90 degrees. If AB=6x-1, BC=4x+6 and AC=2x+1, (answered by Fombitz,MaxWong)

in triangle ABC measure of angel A= x, measure of angle B= 2x +2 and measure of angle C=... (answered by fractalier)

in triangle abc, measure of angle a= 2x+3, measure b= 3x+5, and measure c= 5x+2. Solve... (answered by tutor_paul,sprolden)

In triangle ABC, measure of angle A = 3x+5, measure B = 2x, and measure c is left blank.... (answered by josgarithmetic)

In triangle ABC a= square root 2, b =1 and measure angle A =90. Find the measure of... (answered by ikleyn,MathLover1)

in right triangle ABC, AB=20, AC=12, BC=16, and the measurement of angle c=90 degrees .... (answered by nyc_function)

Find the measure of each angle in triangle ABC. A) (x-30) B(2x-120)... (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)