0
$\begingroup$

I have the following homework question: find the length of side h. Assume the largest triangle is isosceles.
enter image description here

The way I'm thinking about it is that the 2 same angles could be any of the following options:
enter image description here enter image description here enter image description here
The answer is assuming that the 2 angles in Option A are the same, h=5.66.
I don't understand why Option B and Option C cannot be viable options? Why can't the 2 angles in either Option B or Option C be the same?

Thank you

$\endgroup$
1

1 Answer 1

1
$\begingroup$

Let the marked angle be $a$.

The other cases would imply $\frac{a}{2} + a + 90º = 180º$, or that $a = 60º$. This would mean that the triangle is equilateral. However, one of the sides is $2 + 2 = 4$, and one of the sides is $6$, so the triangle is not equilateral – a contradiction.

Therefore, the marked angles are the ones in the first case.

$\endgroup$

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .