Question

In the right triangle below the length of AC is 30 what is the length of ab

Answer 1

`AB\text{ = 15}\sqrt[]{2}`

The type of right triangle here is the isosceles type

Thus, AB and BC are of the same length

We can call this x

Mathematically, according to Pythagoras' theorem, the square of the hypotenuse AC equals the sum of the squares of the two other sides in a right triangle

Thus, we have this as;

`\begin{gathered} 30^2=x^2+x^2 \\ 2x^2\text{ = 900} \\ x^2\text{ = }(900)/(2) \\ \\ x^2\text{ = 450} \\ x\text{ = }\sqrt[]{450} \\ x\text{ = 15}\sqrt[]{2} \end{gathered}`