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Perpendicular from Right Angle to Hypotenuse Divides the Triangle into Two Similar Triangles

In the follow...

Question

In the following figure, AB = AC and AD is perpendicular to BC. BE bisects angle B and EF is perpendicular to AB. Prove that FB = DC.

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Solution

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Similar questions

In the given figure, AD and BC are equal perpendiculars to a line segment AB.

Show that CD bisects AB.

In the given figure, $A D$ bisects $∠ B A C, A B = A C$ . Show that

(i) $∆ A B D ≅ ∆ A C D$

(ii) $A D$ is perpendicular to $B C$

(iii) $A D$ bisects $B C$ .

In the figure AB = BC and AD is perpendicular to CD. Prove that : AC² = 2BC. DC.

∠ 1 = ∠ 2

∠ B = ∠ C

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