Respuesta :

From the question,

We are given the triangle

We are to find the hypotenuse

This will be done using the Pythagorean theorem

Given as

[tex](hyp)^2=(opp)^2+(adj)^2[/tex]

Where,

Hypotenuse = hyp

Opposite = opp

Adjacent = adj

Also

Opposite = 3cm

Adjacent = 4cm

This implies

[tex](\text{hyp)}^2=3^2+4^2[/tex]

Simplifying this we get

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

Therefore, the hypotenuse is 5 cm

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