Rectangle A B C D

RD Sharma Solutions Class 8 Mathematics Solutions for Understanding Shapes Special Types Quadrilaterals Exercise 17.3 in Chapter 17 - Understanding Shapes Special Types Quadrilaterals

Question 5 Understanding Shapes Special Types Quadrilaterals Practise 17.3

In a rectangle ABCD, prove that ΔACB ≅ΔCAD.

Reply:

Permit us draw a rectangle,

R D Sharma Solutions - Mathematics - Class 8 chapter Understanding Shapes Special Types Quadrilaterals Question 5 Solution image

In rectangle ABCD, AC is the diagonal.

In ΔACB and ΔCAD

AB = CD [Opposite sides of a rectangle are equal]

BC = DA

Air conditioning = CA [Common]

By using SSS congruency

ΔACB ≅ΔCAD

Video transcript

"Related to rectangle the question is and rectangle ABCD bear witness that triangle ACB is congruent to jerk cat. So here nosotros take a rectangle ABCD by Air-conditioning is a diagonal. So will I down that? Then in the tangle ABCD is a magnet. So here we consider both rectangle AC B and C 80 then in rectangle ACB and in bending c a d here A B is equal to BC and BC is equal to TD. This one a b is equal to Z and this is equal to 80 considering in an angle opposite sides are equal and then we can write in trouble. Opposite sides are equal. And apart from that you come across in both rectangles is Ac which is mutual so we can write Ac is equal to AC which is a common side. Nosotros can write hither. The comments If You observe other 2 angles that is at angle ACB icad we got all the sides are equal therefore past SS congruence we can see these two triangles are coinciding therefore by SSS congruence It'due south 120 triangle AC p is congruent to Triangle see a lot that we have used a property of a bugger to prove these ii triangles are congruent. I hope yous have understood how yourself the entire solution if you lot have any questions leave a comment below and subscribe to this channel for more videos. Thank you so much for watching."

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