CBSE Class 10 Maths (Standard) 2025 · Paper 30/1/1 · Question 34(b)

Triangles 5 marks Hard

△ A B C

, if

A D ⊥ B C

and

A D^{2} = B D \times D C

, then prove that

∠ B A C = 9 0^{\circ}

Answer

Hence

∠ B A C = 9 0^{\circ}

, as required:

△ D B A \sim △ D A C

by SAS similarity gives

∠ B A C = ∠ B + ∠ C

, and the angle sum of

△ A B C

then gives

2∠ B A C = 18 0^{\circ}

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