in the following figure angleB =90 BD perpendicular AC prove that BC^2/AB^2=DC/AD
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To Prove:-
Step-by-step explanation:-
- Here ΔABC is a right angle triangle.
- We know that on drawing a altitude from right angle vertices to hypotenuse , it divide into two right angle triangle. Each right angle triangle is similar to original right angle triangle.
- From ΔACB and ΔABD , which are similar to each other.
Means
So ratio of corresponding side are also equal.
⇒ ...1)
- From ΔCAB and Δ CBD , which are similar to each other.
Means
So ratio of corresponding side are also equal.
⇒ ...2)
- From equation 2) ÷ equation 1)
So
Proved
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