Answer:
x = 68 cm
Step-by-step explanation:
Pythagoras Theorem states
In a right triangle,
Square of the hypotenuse = Sum of squares of other two sides
The hypotenuse is the longest side and the other two sides are called legs
If we denote x as the hypotenuse a as the height and b as the base we get
[tex]x^2 = a^2 + b^2[/tex]
[tex]x = \sqrt{a^{2} + b^{2}}[/tex]
We are given two of the side lengths and asked to calculate the hypotenuse
Height (a) = 32 cm
Base (b) = 60 cm
Hypotenuse is denoted by x
Using the Pythagorean theorem we get
[tex]x = \sqrt{a^{2} + b^{2}}\\\\x = \sqrt{32^{2} + 60^{2}}\\\\x = \sqrt{1024 + 3600}\\\\x = \sqrt{4624}\\\\x = 68\\\\[/tex]
