Math, asked by pokemon5627, 1 year ago

write true or false with reason the sum of Any two sides of a triangle is less than the third side​

Answers

Answered by anaya563
5

Answer:true it is because hypotenuse is always the longest side.

Step-by-step explanation:


ChillGuy: no bro, it should be false, sum of two sides (a+b) is greater than third side, it is a property of ∆
anaya563: I guess it is true.
anaya563: If you see the pythagoras theorem then...
ChillGuy: it can be equal
anaya563: Well but its true
ChillGuy: hmmm
Answered by tinapatinsome
2

Answer:

It is true because of the proof given below

Step-by-step explanation:

Cut off AD = AB, join BD

2 = 4

Exterior 1 > 4      (exterior angle is greater than each of the interior angles)

Exterior 2 > 3

1 > 3

BC > DC                (side opposite greater angle is greater)

BC > AC - AD        (DC = AC - AD)

BC > AC - AB         (AD = AB)

BC > AC - AB < BC

Similarly, BC - AC < AB and BC - AC < AC

Hence, the difference of any two sides of a triangle is less than the third side.

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