Question

if two sides of a triangle are of length 7 cm and 3 cm then what would be the length of the third side

Answer 1

heya!! mate^_^

your answer is - - - -

$7+3=10cm$

$7-3= 4cm$

length of third side must be greater than 4cm and less than 10cm.

Answer 2

The length of third side must be greater than 4 cm and less than 10 cm

Solution:

According to triangle inequality theorem,

The sum of the lengths of any two sides in a triangle is always greater than the length of the third side in the triangle

Given that,

Two sides of a triangle are of length 7 cm and 3 cm

Let the third side be "x"

Then,

x < 7 + 3

x < 10

Case 2:

Let the length of third side be 7

7 < x + 3

x > 7 - 3

x > 4

Thus, length of third side must be greater than 4 cm and less than 10 cm

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