If SE = 7 and EG = 20 , then SG =

Mathematics · College · Tue Nov 03 2020

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Lets assume that the triangle is Right Angled Triangle because to find a third side provided two sides are given is only possible in a right angled triangle.

We know that the right-angled triangle follows Pythagoras Theorem, then According to Pythagoras Theorem, the sum of squares of two sides is equal to the square of the third side. 

(Perpendicular)2 + (Base)2 = (Hypotenuse)2 

let SE=7, EG=20, SG=?

7^2 + 20^2 = (SG)^2

49+400=(SG)^2

SG=root of 449

SG=21.19