Given the Triangle ABC and the point M inside the triangle (M don't belong on any sides of triangle).let I be the intersection point of the line BM and the side AC

a, compare MA to MI+MB,then prove that MA +MB<IB+IA

b, compare IB to IC+CB, then prove that IB+IA<CA+CB

c, Demonstrate the inequality MA+MB<CA+CB

Let P be the intersection point of 3 internal bisectrices of a given triangle ABC. The line passing through P and perpendicular to CP intersects AC and BC at M and N. If AP=3cm, BP=4cm, compute AM/BN?

The area of a triangle ABC is , take the point M on BC such that BM=MC and the point N on AC such that AN=NC. Find the area of the triangle AMN

nhanh nhé, mk tick cho

Let ABCD be a trapezoid with bases AB, CD and O be the intersection of AC and BD. If the areas of triangle OAB, triangle OCD are 16cm², 40cm²respectively and M is the midpoint of BD, then the area of the triangle AMD is  .........cm².

Let ABCD be a trapezoid with bases AB, CD and O be the intersection of AC and BD. If the areas of triangle OAB, triangle OCD are 16cm², 40cm²respectively and M is the midpoint of BD, then the area of the triangle AMD is .........cm².

Let ABC be an isoceles triangle (AB = AC) and its area is 501cm². BD is the internal bisector of the angle ABC (D ∈ AC), E is a point on the opposite ray of CA such that CE = CB. I is a point on BC such that CI = 1/2 BI. The line EI meets AB at K, BD meets KC at H. Find the area of the triangle AHC.

Given the triangle ABC with median AM, AB=5cm, AC=12cm.

a) Calculate the lengths of BC, AM

b) D for the point symmetric to A with respect to M. Prove AD=BC and calculate the area of ABCD

c) For what condition of right triangle ABC does ABCD become a square?