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In the following figure, altitudes AD and CE of ΔABC intersect each other at the point P. Show that: ΔABD ∼ ΔCBE - Mathematics

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प्रश्न

In the following figure, altitudes AD and CE of ΔABC intersect each other at the point P. Show that:

ΔABD ∼ ΔCBE

योग

उत्तर

In ΔABD and ΔCBE

∠ADB = ∠CEB = 90°

∠ABD = ∠CBE       ....(Common angle)

Hence, by using the AA similarity criterion,

ΔABD ∼ ΔCBE

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अध्याय 6: Triangles - Exercise 6.3 [पृष्ठ १४०]

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