Hello from MrBillDoesMath!
Answer:
24
Discussion:
In a right triangle with legs 6, and 8, by the Pythagorean theorem the hypotenuse is sqrt( 6^2 + 8^2) = sqrt (36 + 64) = sqrt(100) = 10.
The perimeter is the sum of the side (and hypotenuse) lengths:
Perimeter = 6 + 8 + 10 = 24
Thank you,
MrB
The perimeter of the right triangle is 24 feet.
Given the following data;
To find the perimeter of the right triangle;
Mathematically, the perimeter of a right triangle is given by the formula;
[tex]P = A + B + C[/tex]
But we were only given two (2) of its sides or legs, so we would have to solve for the third side (hypotenuse) by using the Pythagorean theorem.
[tex]C^{2} = A^{2} + B^{2}[/tex]
Where;
C is the hypotenuse of a right triangle.
A is the opposite side of a right triangle.
B is the adjacent side of a right triangle.
Substituting the values
[tex]C^{2} = 8^{2} + 6^{2}\\\\C^{2} = 64 + 36\\\\C^{2} = 100[/tex]
Taking the square root of both sides, we have;
[tex]C = \sqrt{100}[/tex]
Hypotenuse, C = 10 feet.
Next, we find the perimeter of the right triangle;
[tex]P = 8 + 6 + 10[/tex]
Perimeter, P = 24 feet.
Therefore, the perimeter of the right triangle is 24 feet.
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