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2 years ago

What is the length of the unknown leg in the right triangle?

Mathematics

1 answer:

ankoles [38]2 years ago

6 0

Answer:

Step-by-step explanation:

The Pythagorean Theorem can be used to determine an unknown side of a right triangle when two sides are known.

It states that a^2+b^2=c^2.

This is where a and b are the legs of the triangle, and c is the hypotenuse.

If you're unclear on this, you can draw a diagram to help you visualize it.

Hence, we can plug the given information into this formula.

a^2+8^2=(√73)^2

Simplify.

a^2+64=73

Subtract 64 from both sides.

a^2+64-64=73-64

a^2=9

Find the square root of both sides.

a=3

The length of the unknown leg in the right triangle is 3 units.

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Suppose we want to find the area bounded by two functions f(x) and g(x) in a given interval (x1, x2)

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$\int\limits^{}_{} {x} \, dx = \frac{x^2}{2}$

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Then our integral is:

$\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx = (\frac{2^3}{2} + 2 - \frac{2^2}{2}) - (\frac{(-1)^3}{3} + (-1) - \frac{(-1)^2}{2} )$

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