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