It is given that is a right triangle, degrees and BD is the height to the...

Question

Question

It is given that $\Delta ABC$ is a right triangle, $\angle B= 90$ degrees and BD is the height to the hypotenuse.

i) Find a similarity to show that $AB^{^{2}} = AD\cdot AC$ .

ii) Find a similarity to show that $CB^{^{2}} = CD\cdot CA$

iii) Prove that $AB^{^{2}} + BC^{^{2}} = AC^{^{2}}$

math geometry

Answer 1

Answer #1

FromdaBC and 4 ABD, weget, LA is common angle & LBDA = LA BC = 90° So, b A-A properia ca GABC & S ABD are similar so, ABC = A

Answer 2

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