75-25 = 50
It looks like the sides are 25, 25, 25 so it is really equilateral.
If I thought that the side given 25 had the equal side then it would be 25 with 25 left over for the other side.
If I thought the given side, didn't have an equal side, I would have subtracted 25 and divided by 2 like I did originally.
Equilateral triangles have equal sides and equal angles. So.. each angle must be 60 degrees.
In an isosceles triangle, the perimeter is 75 cm and one of the sides is 25 cm. Find all its sides. Can you find all angles of the triangle? Explain your answer.
6 answers
what about angles?
Its wrong
wait no its not
By looking at this information, we can tell easily that this triangle in the problem is an equilateral triangle. Now, most of you are probably thinking, "But an equilateral triangle isn't an isosceles triangle???" However, that statement is wrong, because the definition of an isosceles triangle is that 2 sides at minimum have to be congruent. Now that we have that covered up, let me tell you why it is an equilateral triangle. The perimeter is 75 and one of the sides is 25, right? If it is supposed to be an isosceles triangle, this means that there are two possibilities- 1, there must be at least 2 sides that equal 25, or 2, the other two sides are equal to each other. In any case, we see this combination of side lengths both times- 25, 25, 25. Let me explain. For the first case, if we want 2 sides to equal 25, the last side should be 75-25-25, which equals 25. We get our combination. For the 2nd scenario, 75-25=50, so the other sides should be in total 50 cm. Since the other sides have to be equal to each other, 50/2 should equal each of the 2 sides. They are 25. So again, we get this combination of 25, 25, 25. Now, the angle finding part is very easy. Since the measurements of this triangle are 25cm, 25cm, 25cm, this is an equilateral triangle, meaning each of its angle measurements are 60 degrees.
Cheers!
Cheers!
You just gotta add the degree sign
24 answers