Question

Theorem 6.7 : If a perpendicular is drawn from
the vertex of the right angle of a right triangle to
the hypotenuse then triangles on both sides of
the perpendicular are similar to the whole triangle
and to each other..


prove it plz
I will mark it brainliest
​

Answer 1

Answer:

ANSWER

△ABC right angled at B and ⊥  from B intersecting AC at D(BD⊥AC)

In△ADB&△ABC

∠A=∠A(common)

∠ADB=∠ABC{ Each 90  

∘

}  

△ADB∼△ABC{ By AA Similarity criterion}  -(1)

Similarly,

In△BDC&△ABC

∠C=∠C{ common}

∠BDC=∠ABC{ Each 90  

∘

}  

△BDC∼△ABC{ By AA Similarity Criterion}  -(2)

from(1)&(2)

△ADB∼△ABC&△BDC∼△ABC

If one △le is similar to another △le,and second△le is similar, to the third △le,then first & third △le are similar.

△ADB∼△BDC