jugoslav

(90" * 75") / (24" * 12") = 23.4375 tiles

The Median divides the triangle into two smaller triangles that have the same area.

[GME] = [ABC] / 24 

Hello, ETERNITY!

The coordinates of the center of dilation are (6, 5)  

I made an error in the 2nd row:     (BF = AF / cosB) wrong!

                               should be:      BF = AB * cosB                        

Using the angle bisector theorem  we have: AE : EC = AB : BC

9 / 12 = 12 / BC          BC = 16

Where's a diagram? 

Good job, mobro! How can we find the value of x, y, and z?

Triangle ABC is an isosceles triangle with a base of 8 units.

angle (B) = 2(arctan3/4)

angle (A/2) = 90 - angle (B)

height AD = BD / tan(A/2)

area = BD * AD = 54.85714289 units squared

In triangle ABC angle bisectors AD, BE, CF intersect at a point I. If DI = 3, BD = 4, and BI = 5, then compute the area of triangle ABC.

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Δ ABS is an isosceles triangle.

∠B = 2 [arctan(3 / 4)] = 73.73979529º

AD = tanB * BD = 13.71428571

Area = AD * BD = 54.85714286 u²

∠(x) = arctan(10 / 8) = 51.34019175º

∠(y) = 90 - ∠x = 38.65980825º

AB = 2 [tan(y) * 8] = 12.8