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