Question

16. In A ABC, ZB= 90° and BE is a median.
If AB = 15 and BE = 8.5, find BC.​

Answer 1

Answer:

Step-by-step explanation:

Given ∠ ABC = 90°, AB = 8 cm and BC = 6 cm

Since ABC is a right triangle, We can use the Pythagoras Theorem to get the side AC.

(AB)² + (BC)² = (AC)²

8² + 6² = (AC)²

(AC)² = 64 +36

(AC)² = 100  

Ac = 10 cm

Since BM divides the side AC in two parts AM and CM.

So, we have two isosceles triangles formed which are Δ ABM and Δ BMC.

Therefore the two triangles having the common side as 5 cm.  

So, the length of BM is 5 cm.