Question

draw a rough sketch of a triangle and a quadrilateral having two sides in common.
a) it is possible that there are three sides common between triangle and quadrilateral?
b) How many angles are possible to common between rectangle and triangle. ​

Answer 1

Given : a triangle and a quadrilateral having two sides  in common.

To Find : Draw a rough sketch

Solution:

Draw any Quadrilateral  .

Let say PQRS

Join any of the diagonal  

if  PR is joined

Then Δ PQR    &  quadrilateral PQRS

PQ & QR common side

or Δ PSR    &  quadrilateral PQR

PS & RS common side  

if QS is joined

Then Δ PQS    &  quadrilateral PQRS

PQ & PS common side

or Δ QRS    &  quadrilateral PQRS

QR & RS common side  

its not possible to have three sides common between triangle and quadrilateral

One angle is possible to common between rectangle and triangle  

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