Question

In an isosceles triangle, if a base angle has a measure of 43 degrees, then the vertex angle must have a measure of 80 degrees as well.

Answer 1

Nope. The two base angles are equal, making them add to 86° The vertex angle n=must be (180-86)° = 94°

Answer 2

Triangle ABC is an isosceles triangle. AB is the longest side with length 4x + 4. BC = 8x + 3, and CA = 7x + 8. Find AB

Answer 3

Doing a piggyback, eh?

If AB is the longest side, that must mean that the other two sides are equal: AC=BC

8x+3 = 7x+8
x = 5
AC=BC=43

so, AB = 4x+4 = 24
Hey! I thought AB was the longest. In fact, if x>0, then 4x+4 > 8x+3 only if x < 1/4, so the +4 outdoes the +3.

Looks like for any reasonable x, 8x+3 will be the largest value.

Answer 4

22 degrees an isosceles triangle is shown what is the measure of
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