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Poblem #1:

Pr. #1

Problem 2:

Given an isosceles triangle ABC with a leg 12 cm, an altitude to the base 8 cm. Find the radius of circumscribed circle (R)

Pr.#2:

Problem #3:

Pr. #3:

Problem 4:

Given an inscribed quadrilateral ABCD, AB=19 cm, BC=7 cm, CD=15 cm, AD=21 cm. The extensions of AB and CD intersect each other in point M. Find MB and MC.

Pr. #4:

Problem #5:

Given ABC with a base 13 cm, the distance between the centroid G and the altitude CH to the base is 2 cm. Find AH and HB.

Pr.#5:

Problem #6:

Given ABC with an altitude CH, AH=4 cm, HB=16 cm. Find the distance between the centroid G and the altitude CH

Pr.#6: