Step-by-step explanation:
Pythagoras' Theorem
For Pythagoras' Theorem to be valid, the triangle must be a right-angled one.
The formula is:
c^2 = a^2 + b^2
Where c is the longest side. While a,b are the side lengths.
Solution
Using the above formula and the measurements given in the question, we can find the value of x.
By Pythagoras' Theorem,
26^2 = (5x)^2 + (12x)^2
676 = 25x^2 + 144x^2
169x^2 = 676
x^2 = 676 ÷ 169
x^2 = 4
x = 2
