Use the Pythagorean Theorem to find the unknown side length of the right triangle.
The unknown side length is ____ m.
(Type an integer or decimal rounded to the nearest tenth as needed.)
What is the unknown side length of the right triangle using the Pythagorean Theorem?
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To find the unknown side length of a right triangle using the Pythagorean Theorem, we use the formula:
[ a^2 + b^2 = c^2 ]
Here, ( c ) represents the length of the hypotenuse (the longest side), while ( a ) and ( b ) represent the lengths of the other two sides.
1. Identify which sides of the triangle you know.
2. If you know the hypotenuse ( c ) and one side ( a ), rearrange the formula to solve for the unknown side ( b ):
[ b = sqrt{c^2 – a^2} ]
3. Substitute the given values into the equation and calculate the value of ( b ).
For example, if ( c = 10 ) m and ( a = 6 ) m, then:
[ b = sqrt{10^2 – 6^2} = sqrt{100 – 36} = sqrt{64} = 8 ]
So, the unknown side length ( b ) would be 8 m.
Make sure to round to the nearest tenth as required. If you have specific side lengths to work with, please provide them for an exact answer!