In △abc, point m is the midpoint of ab , point d∈ ac so that ad: dc=2: 5. if aabc=56 yd2, find abmc, aamd, and acmd.

The area of triangle BMC is 28 yd square, the area of AMD is 8 yd square and the area of CMD is 20 yd square.

Explanation:

Given information: M is the midpoint of the side AB. The line MC is the median of the triangle ABC.

A median divides the area of triangle in two equal parts, therefore the area of triangle BMC is half of the area of triangle ABC.

Therefore the area of BMC and AMC is 28 yd square.

Draw a perpendicular on AD from M as shown in the figure.

Therefore the area of AMD is  th part of the area of AMC.

Therefore the area of AMD is 8 yd square.

Therefore the area of CMD is 20 yd square.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

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step-by-step explanation:

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