Is there a way to find the third side of a triangle when the other two sides are given?

Question

lgbasallote · Answer

is it a right triangle?

anonymous · Answer

The question is:
If two sides of a triangle are 6 cm and 8 cm then length of the third side is
a. 7 cm
b. 2cm
c. greater than 2 cm and less than 14 cm 
d. none of these.

anonymous · Answer

If 10 is the third side, then it would be a right triangle.

anonymous · Answer

So is it none of these?

unklerhaukus · Answer

yes there is

The cosine forumla
$$c^2=a^2+b^2-2ab\cos C$$
in a right angled triangle C (angle opposite hypotenuse c is 90° , cos90°=0

lgbasallote · Answer

a + b > c where a and b are two legs and c is the third side....you can find a range i guess

anonymous · Answer

No

anonymous · Answer

But trig is not involved.

accessdenied · Answer

If you only know two sides, you can only find a range of values for the side using Triangle Side Inequality theorem.

lgbasallote · Answer

....which @lgbasallote stated :p

asnaseer · Answer

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imagine the 6cm side pivotted, and then rotate it all the way to see what the possible lengths of the third side could be.

unklerhaukus · Answer

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