Question 1: The center O of the circle inscribed in any triangle is the point of intersection of the: altitudes of triangle ABC bisectors of triangle ABC medians of triangle ABC Question 2: In triangle ΔABC , point F is the point of intersection of the bisector of angle ∠ABC and the altitude AD of the triangle. The measure of ∠BCA is 48°, and the measure of ∠BAC is 78°. What is the measure of ∠AFE? 55° 63° 65° 70° Question 3: Calculate the length of the median of an equilateral triangle with sides equal to 1.5 1 Question 4: The median m divides the ABC triangle in 2 triangles, ABM and ACM. What is the ratio between the areas of the 2 triangles, AreaABM/AreaACM ? 1 2 1.2 It cannot be determined from the information given Question 5: Triangle ABC in the picture below has ∠ABC = 60o and ∠BCA = 40o. If AD, BE and CF are the bisectors of the triangle, which of the following pairs of triangles are similar: triangle ADC and triangle ABD triangle BMC and triangle AMC triangle AMB and triangle CEB triangle BEC and triangle ADC Question 6: In the picture given below, D is a point on the side BC of triangle ABC. Determine which of the following given assumptions are enough to prove that the ABD and ACD triangles are similar. AD is the altitude of triangle ABC ∠ABC = ∠ACB triangle ABC is equilateral triangle ABC is equilateral and AD is its median Press the Submit button to see the results.