Exercise Problem XVII — task. Mathematics CBSE, Class 9.

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$∆ ABC$ and

$∆ DBC$ are two isosceles triangles on the same base

$BC$ and vertices

$A$ and

$D$ are on the same side of

$BC$ (see Fig. 7.39).

$AD$ is extended to intersect

$BC$ at

$P$ , show that

(i)

$∆ ABD ≅ ∆ ACD$

(ii)

$∆ ABP≅ ∆ ACP$

(iii)

$AP$ bisects

$∠ A$ as well as

$∠ D$ .

(iv)

$AP$ is the perpendicular bisector of

$BC$ .

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25. Exercise Problem XVII