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The hypotenuse of a triangle is 13 and one of the legs is 8. What is the length of the other leg of the triangle?round to the nearest 10th

The hypotenuse of a triangle is 13 and one of the legs is 8. What is the length of-example-1
User Dazzafact
by
8.7k points

1 Answer

3 votes

Answer:

10.2

Explanation:

the hypotenuse is 13 and one of its lengths is 8. Let's assume that the perpendicular is 8 and we have to find the base so


a^(2)+
b^(2)=
c^(2)

8^2+b^2=13^2

64+b^2=169

b^2=169-64

b^2=105


\sqrt{b^(2)=
√(105)

b=10.246950766

to the nearest tenth

b=10.2

User Ihake
by
7.3k points

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