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
1 answer:
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;
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
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Answer:
x = 8
Step-by-step explanation:
The triangle is isosceles with legs congruent, both x
Using Pythagoras identity in the right triangle
x² + x² = 16²
2x² = 256 ( divide both sides by 2 )
x² = 128 ( take the square root of both sides )
x = =
=
×
= 8