Question

The length of two sides of a triangle are 10 cm and 13 cm , the possible length of
the third side is ______ .

Answer 1

Step-by-step explanation:

Since, the sum of lengths of any two sides in a triangle should be greater than the length of the third side.

it is given that two sides of the triangle are 10cm , 13cm.

therefore, third side will be less than the sum of two sides

.•. 10 + 13=23 cm

then the third side could not be less than the difference of the two sides.

.•. 13-10= 3cm

therefore the third side could be e more than 3 cm and less than 23 CM

Answer 2

by using Pythagoras theorem

hypotenuse 2=on side 2+other side2

(13) 2=(10) 2+ other side

169=100+other sidee2

169-100=other side2

69=other side2

√69=other side

3√23= other side