Question

A triangular plot of land has side lengths of 2,000 feet, 2,100 feet and 2,900 feet. Does the plot of land form a right triangle

Answer 1

The plot of land forms right triangle.

Step-by-step explanation:

Let,

the three sides are a,b and c.

The sum of square of two sides equals to the square of third side. We will consider the larger side as c, therefore,

a= 2000 feet

b= 2100 feet

c= 2900 feet

Using Pythagoras theorem;

$a^2+b^2=c^2\\(2000)^2+(2100)^2=(2900)^2\\4000000 + 4410000 = 8410000\\8410000 feet = 8410000 feet$

As the three sides satisfy pythagoras theorem, therefore, the plot of land form right triangle.

The plot of land forms right triangle.

Keywords: triangle, pythagoras theorem

Learn more about pythagoras theorem at:

• brainly.com/question/12700460
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