Ashivagari
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(If gets it right get's brainliest)If the hypotenuse of an isosceles right triangle is 14, what is the area of the triangle?

Respuesta :

mhanifa

Answer:

49 unit²

Step-by-step explanation:

Right triangle with equal legs given, let the leg be x.

Hypotenuse of isosceles right triangle is

  • √x² + x² = x√2

Area of triangle:

  • 1/2ah= 1/2x²

Since we have hypotenuse = 14 units:

  • x√2=14
  • x= 14/√2

Then area:

  • 1/2x² = 1/2*(14/√2)² = 1/2*14²/2 = 7² = 49 unit²

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