Question

If the area of two similar triangles are equal, prove that they are congruent.

Answer 1

Step-by-step explanation:

THEY MUST BE CONGURENT BECAUSE THE PRODUCT OF ITS BASE AND HEIGHT IS EQUAL

TRIANGLE 1                                        TRIANGLE 2

SIDES  Z, Y, X                                     SIDES P,Q,R

HEIGHT  A                                          HEIGHT B

AREA OF TRIANGLE 1                      AREA OF TRIANGLE 2                    

1/2 x BASE x HEIGHT                         1/2 x BASE x HEIGHT      

1/2 x Z x A                                           1/2 x R x B

                                 ZA/2=RB/2

                                 ZA=RB

HENCE PROVED

Answer 2

$\textbf{Answer is in attachment!}$