# give an example of two triangles that have equal areas but are not congruent.(mention all the elements of the two triangle)

Please find below the solution to the asked query:

Example 1 :

$\u2206$ ABC has base BC = 6 cm and height AD = 4 cm, other sides AB =12 cm, CA = 17 cm.

Area of $\u2206$ ABC = $\frac{1}{2}\times 6\times 4=3\times 4$ = 12 cm

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And

$\u2206$PQR has base QR = 8 cm and height PM = 3 cm, other sides PQ = 9 cm, RP = 10 cm.

Area of $\u2206$ PQR = $\frac{1}{2}\times 8\times 3=4\times 3$= 12 cm

^{2}

Here we can see that Area of $\u2206$ ABC = Area of $\u2206$ PQR , But both triangles are congruent to each other ( As both have different sides )

Hope this information will clear your doubts about topic.

Similarly you can find other pair of triangles that have same area but not congruent to each other . If you still have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

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