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Dimas [21]
3 years ago
6

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

Mathematics
1 answer:
Strike441 [17]3 years ago
3 0

Answer:

49 unit²

Step-by-step explanation:

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

<u>Hypotenuse of isosceles right triangle is </u>

  • √x² + x² = x√2

<u>Area of triangle:</u>

  • 1/2ah= 1/2x²

<u>Since we have hypotenuse = 14 units:</u>

  • x√2=14
  • x= 14/√2

<u>Then area:</u>

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