Explain how you find the perimeter of this right triangle even though you know the lengths of only two of the
three sides
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Answer:
Total Perimeter of Triangle: 6.33 + 6 + 2= 14.33
Step-by-step explanation:
First of all, to find the perimeter of a triangle you need to know the measurements of all three sides. When you need to find the measurement of the slanted side, ( or hypotenuse), you need to use the Pythagorean Theorem.
[tex]a^2 + b^2 = c^2[/tex]
Then, we insert the numbers:
[tex]2^{2} + 6^{2} =c^2[/tex]
[tex]2^2[/tex] = 4
[tex]6^2[/tex] = 36
So, [tex]c^2[/tex] = 40 or [tex]40^2[/tex]
But wait, the number is is still squared, so the square root of 40, is 6.32455532. ( The number rounded is 6.33, or in tenths, 6.3 )
Finally, we add the measurements of all the sides on the triangle to find the perimeter, which is:
14.33 or 14.3