Math, asked by nata13, 8 months ago

45) In a right triangle, prove that the line segment joining the mid-point of the hypotenuse to the
opposite vertex is half of the hypotenuse. (4 marks)​

Answers

Answered by annabelle376
0
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Answered by TIGER1407
2

Answer:

Step-by-step explanation:

Let P be the mid point of the hypotenuse of the right △ABC right angled at B

Draw a line parallel to BC from P meeting B at O

Join PB

In △PAD and △PBD

∠PDA=∠PDB=90

each due to conv of mid point theorem

PD=PD  (common)

AD=DB  (As D is mid point of AB)

So △ PAD and PBD are congruent by SAS rule

PA=PB  (C.P.C.T)

As PA=PC  (Given as P is mid-point)

∴PA=PC=PB

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