Altitude And Median Quiz

In an isosceles triangle ABC, with AB = AC, the altitude from A meets BC at D. If AB = 6 cm and AD = 4 cm, find the length of BD. (Given √5 = 2.236)

3 cm 4.47 cm 2 cm

In an equilateral triangle ABC, the altitude from A meets BC at D. If AD = 4 cm, find the length of BC.

6 cm 8 cm 12 cm

In a triangle ABC, the median from A meets BC at D. If AB = 8 cm, AC = 6 cm, and BD = 3 cm, find the length of AD.

4 cm 6.403 cm 6 cm

In a triangle PQR, the median from P meets QR at S. If PQ = 10 cm, PR = 12 cm, and PS = 6 cm, find the length of QS.

6.557 cm 5 cm 9.27 cm

In a right-angled triangle XYZ, the altitude from X meets YZ at P. If XY = 6 cm, XZ = 8 cm, and XP = 4 cm, find the length of YP.(Given √5 = 2.236)

8.944 cm 4 cm 4.472 cm