Question

22.
In the given figure, ABC = 90° and BM is a
median, AB = 8 cm and BC = 6 cm. Then, length
BM is equal to
А
B.
(1) 3 cm
(2) 4 cm
(3) 5 cm
(4) 7cm​

Answer 1

Answer:

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.

So Therefore your answer is option 3

Answer 2

Answer:(c) 5 cm

Step-by-step explanation:

Click on the attachment

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