In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=5 yards and c=6 yards, what is the perimeter? If necessary, round to the nearest tenth.

Please verify your answer



Answer :

Answer:

  14.3 yards

Step-by-step explanation:

You want the perimeter of the right triangle with hypotenuse 6 yards and one leg 5 yards.

Missing leg

The other leg of the right triangle can be found using the Pythagorean theorem:

  a² +b² = c²

  b² = c² -a²

  b = √(c² -a²) = √(6² -5²) = √11 ≈ 3.3

The perimeter is ...

  P = a + b + c

  P = 5 + 3.3 + 6 = 14.3 . . . . yards

The perimeter of the triangle is about 14.3 yards.

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