# LESSON 4-8 PROBLEM SOLVING ISOSCELES AND EQUILATERAL TRIANGLES

Isosceles Triangles Geometry D — Chapter 4. The third side is the base. Bottom left corner at 0,0 , rest of coordinates at 2, 0 , 0, 2 and 2, 2 9. And the trick here is like, wait, how do I figure out one side of a triangle if I only know one other side? Apply properties of isosceles. Don’t want to skip steps here. So you get 62 plus 62 plus the blue angle, which is the measure of angle BCD, is going to have to be equal to degrees. We already know that that’s 62 degrees. And in particular, we see that triangle ABD, all of its sides are equal. Using Properties of Equilateral Triangles Find the value of x. And once again, these two angles plus this angle right over here are going to have to add up to degrees. And we need to figure out this orange angle right over here and this blue angle right over here.

Divide both sides by 2. So we know that this angle right over here is also 31 degrees. Finding angles in isosceles triangles example 2.

The side opposite the vertex angle is called the base, and the base angles are the two angles that have the base as a side. The two congruent legs form.

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So this right over here is 62 degrees. So triaangles angle right over here is degrees. And then– I won’t skip steps here. You get 2x is equal to This is degrees.

## Isosceles & equilateral triangles problems

You subtract from both sides. If you subtractyou get 60, and then you have to subtract another 4. Well, the base angles are going to be congruent. Video transcript Let’s do some example problems using our newly acquired knowledge of isosceles and equilateral triangles. And we get x plus x plus 36 degrees is equal to Every isosceles triangle is equilateral. Don’t want to skip steps here. The congruent sides are called the legs.

Now, we could do either of these. So we could say 31 degrees plus 31 degrees plus the measure of angle ABC is equal to degrees. You subtract 62 from both sides.

You get the measure of angle BCD is equal to– let’s see. Angle ABE is going to be 60 plus 45, which is degrees. And once again, we know it’s isosceles because this side, segment BD, is equal to segment DE.

Those are the two legs of an isosceles triangle. So first of all, we see that triangle ABC is isosceles. And because it’s isosceles, the two base angles are going to be congruent. This is one leg. The two x’s, when you add them up, you get 2x.

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# Isosceles & equilateral triangles problems (video) | Khan Academy

It also has two congruent angles. Auth with social network: Don’t I need to know two other sides? So this is going to be 62 degrees, as well. They have to add up to degrees. And to do that, we can see that we’re actually dealing with friangles isosceles triangle kind of tipped over to the left. So it’s going to be this whole angle, which is what we care about.

And then we can subtract 90 from both sides.