In a right-angled triangle if the longest side is 26 cm and one of the other sides is 24 cm, find the length of the third side.
Answer & explanation
Correct answer: option 4
Formula Used
Pythagoras Theorem = \( { a}^{ 2} \) + \( { b}^{ 2} \) = \( { c}^{ 2} \) (where c is the hypotenuse)
Solution
= \( { 26}^{ 2} \) - \( { 24}^{ 2} \) = \( { a}^{ 2} \)
= \( { a}^{ 2} \) = 100
= \( { a}^{ 2} \) = \(\sqrt {100 }\) = 10 cm
Therefore, the length of the third side is 10 cm.