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HELP PLEASE. The areas of the squares adjacent to two sides of a right angle are shown above. what is the area of the Square adjacent to the third side of the triangle?

HELP PLEASE The areas of the squares adjacent to two sides of a right angle are shown above what is the area of the Square adjacent to the third side of the tri class=

Respuesta :

Answer:

6.5units

Step-by-step explanation:

Find the length side of the smaller square

The area of the square is equal to

A = a^2

so

a^2 = 13

a = √13 units

step 2

Find the length side of the larger square

The area of the square is equal to

A = b^2

so

b^2 = 29.25

b = √29.25 units

step 3

Find the value of x

Applying the Pythagoras Theorem

x^2 = a^2 + b^2

x^2 = 13 + 29.25

x^2 = 42.25 units

x = √42.25

x = 6.5 units

The area of the square adjacent to the third side of the triangle is 85 square units.

Pythagoras theorem:

Important information:

  • The area of Red square is 35 square units
  • The area of Green square is 50 square units.

According to the Pythagoras theorem:

[tex]a^2=b^2+c^2[/tex]

Where, a is hypotenuse and b, c are two legs of a right-angle triangle.

Area of a square is the square of side length. So, [tex]b^2=35[/tex] and [tex]c^2=50[/tex]. Now,

[tex]a^2=35+50[/tex]

[tex]a^2=85[/tex]

Therefore, the area of the square adjacent to the third side of the triangle is 85 square units.

Find out more about 'Pythagoras theorem' here:

https://brainly.com/question/22732387

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