Question

A right triangle with legs of length 7 inches and 24 inches has a perimeter, in inches, of

Answer 1

56 inches

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Firstly, find the hypotenuse.

According to the Pythagorean theorem, the square of the length of hypotenuse is the sum of the square of the lengths of legs.

To find the hypotenuse c, add the squares of the two legs, a and b, then take the square root:

• 
  `c^2=a^2+b^2 \ \ > > > \ \ c=√(a^2+b^2)`

If we let the lengths of the two legs be 7 and 24, we have the equation for hypotenuse, h:

• 
  `h^2 = 7^2 + 24^2`
• 
  `h^2 = 625`
• 
  `h=25`

Next, to find the perimeter of the triangle, we simply add up the lengths of all sides.

Hence, the perimeter is given by:

• P = 7 inches + 24 inches + 25 inches = 56 inches