Are two equilateral triangles such that D is the midpoint of BC?

Are two equilateral triangles such that D is the midpoint of BC?

Given: ΔABC and ΔBDE are two equilateral triangles such that D is the midpoint of BC. To find: Ratio of areas of ΔABC and ΔBDE. ΔABC and ΔBDE are equilateral triangles; hence they are similar triangles. Since D is the midpoint of BC, BD = DC.

How do you prove that triangle ABC is an equilateral triangle?

We know that all the sides of an equilateral triangle are equal, it means that in triangle ABC, we have AB = BC = AC. We know that the angles opposite to the equal sides of a triangle are equal. So, here we have the side AB equal to the side AC, it means that ∠B=∠C………

Is an equilateral triangle also an isosceles triangle?

An isosceles triangle therefore has both two equal sides and two equal angles. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides and angles equal.

What is the length of an altitude of an equilateral triangle of side 8 cm?

Hence, altitude of an equilateral triangle is 4√3 cm.

What is the ratio of two equilateral triangle?

The ratio of area of two equilateral triangle is 1:2.

Are any two equilateral triangles similar?

For two triangles to be similar the angles in one triangle must have the same values as the angles in the other triangle. For the equilateral triangles since they always have 3 angles that are each 60° , any equilateral triangles will be similar.

Is an equilateral triangle a right triangle?

Explanation: In an equilateral triangle, all the sides are equal. Since all the sides are equal then the angles must be equal too. So we can’t have an Right angled equilateral triangle.

Are equilateral triangles similar?

Similarity. A property of equilateral triangles includes that all of their angles are equal to 60 degrees. Since every equilateral triangle’s angles are 60 degrees, every equilateral triangle is similar to one another due to this AAA Postulate.

What is the ratio of the areas of triangle ABC and Bde?

∆ABC and ∆BDE are two equilateral triangles such that D is the mid-point of BC. The ratio of the areas of triangle ABC and BDE is Given: ΔABC and ΔBDE are two equilateral triangles such that D is the midpoint of BC. To find: Ratio of areas of ΔABC and ΔBDE. ΔABC and ΔBDE are equilateral triangles; hence they are similar triangles.

What is theratio of a(ABC) and a(Bde)?

Ratio of A (ABC) and A (BDE) is: △ABC and △BDE are two equilateral triangles such that D is the midpoint of BC. Ratio of A(△ABC) and A(△BDE) is:

What is the value of BD in an equilateral triangle?

In an equilateral triangle ABC , AB=BC=CA= 3x (let). Thus , BD= 1/3.BC = x units. If mid point of BC is M then MB=MC=3x/2 units. Join A to D and A to M.