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Rudiy27
3 years ago
15

The two short sides of a triangle are 3 and 4 inches. what is the length of the hypotenuse,in inches?​

Mathematics
2 answers:
Mama L [17]3 years ago
6 0

Answer:

hypotenuse = 5 inches

Step-by-step explanation:

Hypotenuse, by the Pythagoras theorem, is the square-root of the sum of the square of the two short sides.

Hypotenuse

= sqrt(3²+4²)

=sqrt(9+16)

=sqrt(25)

=sqrt(5²)

=5

disa [49]3 years ago
3 0

Answer:

The length of the hypotenuse is 5 inches.

Step-by-step explanation:

The formula for finding the hypotenuse is a^{2} + b^{2} = c^{2},

with a and be being the two shorter sides of the triangle, while c is the hypotenuse.

Let's plug in our values for a and b and solve.

4^{2} + 3^{2} = c^{2}

16 + 9 = c^{2}

25 = c^{2}

What is the square root of 25? 5.

The length of the hypotenuse is 5 inches.

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Answer:

Simplifying

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Remove parenthesis around (-3 + 5n)

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Reorder the terms:

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-3 + 5n + (-7 + 2n) = 0

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Combine like terms: -3 + -7 = -10

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Solving

-10 + 7n = 0

Solving for variable 'n'.

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Add '10' to each side of the equation.

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7n = 10

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n = 1.428571429

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3 years ago
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