Question

△ ABC is right angled at B. If A perpendicular is dropped at D on the hypotenuse, state all possible pairs of similar triangles

Answer 1

Hii
Good English math Hindi question

Answer 2

Step-by-step explanation:

△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

solution