In△ABC the m∠A=(2x+23)?, m∠B=(3x−10)?,and m∠C=(2x+34)?. Choose the correct statement about the classification of the triangle by the angle measures. A. The triangle is a right triangle because x = 19 , and there is one right angle in the triangle. B. The triangle is an obtuse triangle because x = 19 , and there is one angle that is greater than 90 degrees. C. The triangle is an acute triangle because x = 19 , and all three angles are less than 90 degrees. D. The triangle is an equiangular triangle because x = 19 , and all the angles are congruent to each other.
@perl
Over here, you see, you actually have to put in the values given in each option
OK.
can you upload a diagram
It doesn't include one.
Yeah. That should do it? the options have also defined what are the different kinds of triangles. should you face any more problems? :-)
OK, I'll let you know.
You wont need a diagram right @perl . Cause the angles are given. We gotta check with values of x in the options and write the answer accordingly
It's not A
Yes correct :-) Go on..
It's C?
we know that a triangle adds up to 180 degrees
<A + < B + C = (2x+23)+ (3x−10)+ (2x+34) = 180
<A + < B + C = (2x+23)+ (3x+10)+ (2x+34) = 180
Right
we can solve it by algebra
collect like terms
I'll solve it.
I got 113/7 o_o
is it right ?
@perl
did you get x = 19 ? http://www.wolframalpha.com/input/?i=solve+%282x%2B23%29%2B+%283x%E2%88%9210%29%2B+%282x%2B34%29+%3D+180+
what happens when you plug in x = 19
m∠A=(2x+23), m∠B=(3x−10)?,and m∠C=(2x+34)
m<A=(2x+23) m<A = 2*19 + 23 m∠B=3*19−10 m∠C=2*19+34
SO IT'S c?
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