prove that in a right angle triangle the square of the hypotenuse is equal to the sum of the square of remaining two sides
Answers
Answer:
Materials like air, water, and clear glass are called transparent. When light encounters transparent materials, almost all of it passes directly through them. Glass, for example, is transparent to all visible light. Translucent objects allow some light to travel through them.
Step-by-step explanation:
Step-by-step explanation:
Consider a right angled triangle with length of hypotenuse as c and the remaining two sides as a and b respectively.
We arrange 4 such triangles in such a fashion that they form a square of side a+b (as shown in the figure).
Area of the figure A= (a+b)(a+b) .......(1)
Also area of the figure can be written as, A=4×ar(Bluerighttriangle)+ar(centralyellowsquare)
A=4×
2
1
ab+c
2
.......(2)
Equating (1) and (2) we get,
c
2
+2ab=a
2
+b
2
+2ab
Consequently, c
2
=a
2
+b
2
. Hence, Pythagoras theorem is proved.