Question

What does b= and how to find the missing side for it?

Answer 1

24

Step-by-step explanation

We want to find the value of b in the right-angled triangle given.

Because it is a right-angled triangle, we can apply Pythagoras Rule:

`\begin{gathered} c^2=a^2+b^2 \\ \text{where a, b = legs of the triangle} \\ c\text{ = hypotenuse} \end{gathered}`

Therefore, we have that:

`\begin{gathered} 25^2=7^2+b^2 \\ 625=49+b^2 \\ \Rightarrow b^2=625-49 \\ b^2=576 \\ b\text{ = }\sqrt[]{576} \\ b\text{ = 24} \end{gathered}`

That is the value of b.