Respuesta :

you'd use the pythagorean theorem.

a^2+b^2=c^2

a is the first leg, b is the second leg, and c is the third leg.

10^2+13^2=c^2

100+169=c^2

269=c^2

take the square root of both sides

16.4=c

16.4cm is your answer!

Hello!

The answer is: the hypotenuse length is 16.4 cm.

Why?

Since it's a right triangle, we can use the pythagorean theorem to find the length of the hypotenuse.

The Pythagorean Theorem states that:

[tex]c=\sqrt{a^{2}+b^{2}}[/tex]

Where:

[tex]c=hypotenuse\\a=TriangleSide/Leg=10cm\\b=TriangleSide/Leg=13cm[/tex]

So, the calculating we have:

[tex]hypotenuse=\sqrt{10cm^{2}+13cm^{2}}[/tex]

[tex]hypotenuse=\sqrt{100cm+169cm}[/tex]

[tex]hypotenuse=\sqrt{269cm}[/tex]

[tex]hypotenuse=16.4cm[/tex]

Hence, the hypotenuse length is 16.4 cm.

Have a nice day!

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