Question

Measure A= (x-30), measure B= (2x-80), and measure C= (x-70). what kind of triangle is ABC

Answer 1

Answer: obtuse scalene triangle.

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Step-by-step explanation:

For any triangle, the three angles always add to 180 degrees.

A+B+C = 180

(x-30)+(2x-80)+(x-70) = 180

4x-180 = 180

4x = 180+180

4x = 360

x = 360/4

x = 90

So,

• A = x-30 = 90-30 = 60
• B = 2x-80 = 2*90-80 = 100
• C = x-70 = 90-70 = 20

In short,

• A = 60
• B = 100
• C = 20

Note how A+B+C = 60+100+20 = 180 to help confirm we have the correct x value and correct A,B,C values.

Since all of the angles are different in measure, it tells us the triangle is scalene. This will lead to the side lengths being 3 different values.

The fact that angle B = 100 is over 90 degrees also tells us this triangle is obtuse

In short, we have an obtuse scalene triangle.