Need help on question please!!
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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!
The answer is: the hypotenuse length is 16.4 cm.
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!