Yes it does. Then they are congruent triangles with SSS congruency. The areas of congruent triangles are equal.
Moreover, the area of a triangle in terms of its sides is square root of s(s-a)(s-b)(s-c) where s=(a+b+c)/2.
triangles
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Maciek
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Hi all!
Congruent triangles
1) 3 sides (SSS) test
2) Side-Angle-Side (SAS)
3) Angle-Side-Angle (ASA)
4) Angle-Angle-Side (AAS)
5) Hypotenuse-leg (HL)
Source: https://www.mathopenref.com/congruentsss.html
Hope it helps!
Best,
Maciek
Congruent triangles
1) 3 sides (SSS) test
There are four other ways to test whether two triangles are congruent:Definition: Triangles are congruent if all three sides in one triangle are congruent to the corresponding sides in the other.
2) Side-Angle-Side (SAS)
3) Angle-Side-Angle (ASA)
4) Angle-Angle-Side (AAS)
5) Hypotenuse-leg (HL)
Source: https://www.mathopenref.com/congruentsss.html
Hope it helps!
Best,
Maciek
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