Question

triangle ABC is right angle at B.
M is med point of Ac. Find lenght of BM
AB = 12 cm and Bc
5cm​

Answer 1

Answer:

Step-by-step explanation:

Given: A right angle ΔABC.

           Right angle at B.

           M is the mid-point of AC. Therefore, AM=MC

           AB = 12cm and BC= 5cm.

Now,

By Pythagoras Formula,

Pythagoras Formula states that in a right angle triangle:

Perpendicular² + Base² = Hypotenuse²

So,

Perpendicular= AB = 12cm

Base = BC = 5cm

Hypotenuse = AC = ??

Using Pythagoras Formula,

Perpendicular² + Base² = Hypotenuse²

12² + 5² = AC²

144 + 25 = AC²

169 = AC²

AC = √169

AC = 13

Therefore, Hypotenuse is 13cm.