Question

Given triangle ABC, m 12 years ago

Answer 1

The sum of the interior angle measures of a triangle is 180.

So, first solve this equation for x:

x + 14 + 4x + 6 + 15x + 40 = 180

Answer 2

@Firejay5 Post what you get for x.

Answer 3

Start by adding like terms on the left side of the equation:

x + 14 + 4x + 6 + 15x + 40 = ?

Answer 4

@Directrix x = 6

Answer 5

Okay. Next, use that value of x to compute the measures of the three angles of the triangle. Post what you get.

So the angles are:

(6 + 14) = ?
4*6 + 6 = ?
and 15*6 +40 = ?

Answer 6

20, 30, and 130

Answer 7

Correct. As a check, they do sum to 180.

Now, look at the attached chart and see if you can label the triangle by its side lengths and then by its angle measures.

Answer 8

One descriptor will come from the side column of the chart and the other from the angle column of the chart.

Answer 9

How do you figure the sides

Answer 10

We cannot get the side lengths.
Move over to the angle column.
Which descriptor goes with a triangle with angles of 20, 30, and 130?

Answer 11

It's a Scalene Obtuse Triangle

Answer 12

That is correct.
The triangle is obtuse because it has one obtuse angle.
It is scalene because the sides are all of differing lengths.

If two interior angles had been the same, it would have been isosceles.

Answer 13

thank you