Question

Solve the triangle: a = 25, C = 25, B = 25°. If it is not possible, say so.A=25*,b= 25, C = 250A=77.5*,b=10.8, C = 77.5eA=77.5', b = 24.1, C = 77.5This triangle is not solvable.

Answer 1

We will have the following:

First:

Since we have that sides a & c have the same length by theorem angles A & C are equal, so the following is true:

`A+B+C=180\Rightarrow2A+B=180`
`\Rightarrow2A=180-25\Rightarrow A=77.5`

so, angles A & C have a measure of 77.5°.

*Second: We determine the measurement f the segment b, that is:

`(b)/(\sin(25))=(25)/(\sin(77.5))\Rightarrow b=(25\sin (25))/(\sin (77.5))`
`\Rightarrow b=10.8219807\Rightarrow b\approx10.8`

So we will have that the measurements are:

A = 77.5°

b = 10.8

C = 77.5°

[Option B]