Question

022. In an isoscelas triangle ABC AB=AC D and E are points on BC such that BE-CD
Show that AD-AE 023. PQRS and ABRS are parallelograms and X is any point on side
BR show thet ar AXS)=1/(2ar PORS)​

Answer 1

Given

ABC is an isosceles triangle with AB=AC .D and E are the point on BC such that BE=CD

To find

PQRS and ABRS are parallelograms

Prove

Given AB = AC

∴∠ABD = ∠ACE (opposite angle of sides of a triangle ) ..(1)

Given BE = CD

Then

BE − DE = CD − DE

ORBC = CE..(2)

In ΔABD and ΔACE

∠ABD = ∠ACE ( From 1)

BC = CE (from 2)

AB = AC ( GIven)

∴ΔABD ≅ ΔACE

So AD=AE [hence proved]

Hope it helps

#Be brainly

Answer 2

Given

ABC is an isosceles triangle with AB=AC .D and E are the point on BC such that BE=CD

To find

PQRS and ABRS are parallelograms

Prove

Given AB = AC

∴∠ABD = ∠ACE (opposite angle of sides of a triangle ) ..(1)

Given BE = CD

Then

BE − DE = CD − DE

ORBC = CE..(2)

In ΔABD and ΔACE

∠ABD = ∠ACE ( From 1)

BC = CE (from 2)

AB = AC ( GIven)

∴ΔABD ≅ ΔACE

So AD=AE [hence proved]