Question

how can I find Hypotenuse and the relevant and how can I correct it to three significant figures?

Answer 1

From the question,

We are given the triangle

We are to find the hypotenuse

This will be done using the Pythagorean theorem

Given as

$(hyp)^2=(opp)^2+(adj)^2$

Where,

Hypotenuse = hyp

Opposite = opp

Adjacent = adj

Also

Opposite = 3cm

Adjacent = 4cm

This implies

$(\text{hyp)}^2=3^2+4^2$

Simplifying this we get

$\begin{gathered} (\text{hyp)}^2=9+16 \\ (\text{hyp)}^2=25 \\ \text{hyp}=\sqrt[]{25} \\ \text{hyp }=5 \end{gathered}$

Therefore, the hypotenuse is 5 cm