Question

Prove that in a right trangle the squares of the other two sides

Answer 1

Answer:

to prove that right angles one side square is equal to the square of other sides

Step-by-step explanation:

given:- given that ABC is a right angle triangle with angel at B as right angle equals to 90 degree.

to prove :- that AB square Plus BC square equals to AC squar

construction:- draw draw a a perpendicular bisector from point b on AC

proof :- in triangle ABD and triangle ABC

angle is equals to angle A

angle B

ab is equals to ab

is equals to angle BDA

triangle a b c are similar by ASA

similarly similarly triangle ABC and ABC will also be similar by ASA.

thanks ab/ ad is equal to AC/ ab take it 1

and bc/ cd is equal to dc/ bc take it 2

cross multiply first and second.

ab×ab= cd×dc take it 3

bc×bc= cd×cd take it 4

Add 3 and 4

a b square + BC square is equals to cd square