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DG¯¯¯¯¯¯ , EG¯¯¯¯¯ , and FG¯¯¯¯¯ are perpendicular bisectors of the sides of △ABC . BE=3 cm and GE=4 cm.

What is AG ?

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DG EG and FG are perpendicular bisectors of the sides of ABC BE3 cm and GE4 cm What is AG Enter your answer in the box class=

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Answer:

your answer is 5.

Step-by-step explanation:

all the sides are the same because of the right angle signs; that means the lines are 90 degrees and are midway markers in this triangle. for example, the midway markers mean EC is 3 as well, and BEC is 6, since 3+3=6.

so since we know ge is 4, and we know be is 3, we know ad = be and dg = eg. find the hypotenuse of these two bad boys. a^2+b^2=c^2.

now plug in variables: 3^2+4^2=ag^2. 9+16=25. find the square root of the hypotenuse (because we need ag, not ag^2). your answer is five, and you're done. :)

The length of the Median of the triangle AG in the question is;

AG = 5 cm

       From the given triangle we see that the three medians are BG, CG and AG.

Now, the medians of the triangle will be equal since they all meet at the centroid of the triangle.

This means that BG = CG = AG.

We are given;

BE = 3 cm and GE = 4 cm.

The triangle BGE is a right angle triangle and as such we can use Pythagoras theorem to find the side BG.

Thus;

BG = √(3² + 4²)

BG = √25

BG = 5 cm

Thus; AG = 5 cm

Read more at; https://brainly.com/question/7560971

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