Geometry: Can an eqilateral triangle also be an isosceles triangle?

An isosceles triangle has two congruent sides called legs and a third side called the base. The vertex angle is the angle included by the legs. The other two angles are called base angles. The base angles are congruent.

An equilateral triangle is a special isosceles triangle in which all three sides are congruent. Equilateral triangles are also equiangular, which means all three angles are congruent. The measure of each angle is 60 degrees.

The area of a triangle = 1/2 * base * height. But here, we know the base and height are the same length (isoceles) so if we call the length of each equal side x: 1/2 * x * x = 50 x^2 = 50 times 2 x^2 = 100 x = 10 or -10 x = 10 Now find the length of the hypotenuse, using Pythagoras: 10^2 +10^2 = h^2 h = sqrt(200) = 10sqrt(2) The perimeter is all of the sides added together: P = 10 + 10 + 10 sqrt(2) = 20 + 10sqrt(2)

an equilateral triangle is also an isosceles. It has two equal sides

whats impossible is an isosceles being an equilateral

youre right; An isosceles triangle is defined as a triangle in which has AT LEAST two congruent sides, it doesnt matter if there are more or less.

yes, because an equilateral triangle alrealdy has two equal sides.

equilateral is automatically isosceles

You're right.