samsavage5683 samsavage5683
  • 09-02-2018
  • Mathematics
contestada

Abc is an isosceles and right triangle whose hypotenuse measures 8 inches. use the pythagorean theorem to determine the length of each leg

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gustanika
gustanika gustanika
  • 09-02-2018
Because the triangle ABC is isosceles, the leg of the triangle has the same length. For example, the length of one leg is a, then the other leg is a too.

Input the numbers to pythagorean formula
a² + b² = c²
a² + a² = 8²
2a² = 64
a² = 64/2
a² = 32
a = √32
a = √16 × √2
a = 4√2

The length of each leg is 4√2 inches
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