Answer :

Area of a triangle=1/2*b*h
where area is given
336=1/2*48*h
h =336*2/48
h=14 cm

now b=48 cm,h=14 cm

so by phythgorean theorm
(hy)^2=(base)^2+(h)^2
hy= √(196+2304)

Hypotenuse=50cm

The hypotenuse is 50 cm.

Right triangle

In a triangle, one angle is 90 degrees.

Given

The area is 336 square cm

Base is 48

How to calculate the spontaneous?

[tex]\begin{aligned} \rm Area &= \dfrac{1}{2} base * height\\\\336 &= \frac{1}{2} 48* height\\\\Height &= \frac{336}{24}\\Height &= 14\\ \end{aligned}[/tex]

Then by Pythagoras theorem

[tex]\rm Hypotaneuos^{2} = base^{2} + height^{2} \\Hypotaneuos^{2} = 48^{2} + 14^{2} \\Hypotaneuos^{2} = 2304 +196\\Hypotaneuos^{2} = 2500\\Hypotaneuos = \sqrt{2500} \\Hypotaneuos = 50[/tex]

Thus, the hypotenuse is 50 cm.

More about the right triangle link is given below.

https://brainly.com/question/7894175

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