contestada

Complete the following proof.
Prove: In an equilateral triangle the three medians are equal.
+a
e-(.*)-(
2a
P=
- (0 + 2ª + )-( ₂² )-(.)
?
2
0+
2-(+)-()
|− a)² + (
R-
C(a. b)
PC
=
(2a, 0)
√3 (with side - 2a)
QA-
- √(₁-2)* ·-(- -)
J(J
9a² 8²
a² (√3)²
B
(Height of equalateral A = b)
X
RB
a²3
√3
(²-²)² + (- - -)*
-J* · ·
()*(3
√√3

Complete the following proof Prove In an equilateral triangle the three medians are equal a e 2a P 0 2ª 2 0 2 a R Ca b PC 2a 0 3 with side 2a QA 2 JJ 9a 8 a 3 B class=

Respuesta :

The median of an equilateral triangle are equal has been proved.

How to proof the triangle?

The medians are given as AD, BE, and CF.

Let AB = AC = BC = x unit.

In triangles, BFC and CEB, we've

BF = CE.

ABC = ACB since they're both 60°

BC = BC

By SAS congruence,

BFC = CEB = BE = CF.

Similarly, we've AB = BE

Therefore, AD = BE = CF

median of an equilateral triangle are equal has been proved.

Learn more about triangles on:

brainly.com/question/1058720

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