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As shown below, three squares connected at their vertices form a right triangle. What is the
area of the largest square?

15 meters squared
225 meters squared
218 meters squared
178 meters squared

As shown below three squares connected at their vertices form a right triangle What is the area of the largest square 15 meters squared 225 meters squared 218 class=

Respuesta :

absor201

The area of largest square is 225 m^2

Step-by-step explanation:

As the square are connected to the sides of right triangle

So,

The largest square will be the square connected to the hypotenuse as it is the longest side in the triangle

The area of square connected to the hypotenuse will be equal to the sum of areas of squares connected to the base and perpendicular of the right angled triangle.

Hence,

[tex]Hypotenuse^2 = Base^2+Perpendicular^2[/tex]

As we already know the area of square connected with the base

Putting the values

[tex]H^2 = 144 + (9)^2\\H^2 = 144+81\\H^2 = 225[/tex]

Hence,

The area of largest square is 225 m^2

Keywords: Pythagoras theorem, triangle

Learn more about Pythagoras theorem at:

  • brainly.com/question/8520610
  • brainly.com/question/846474

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