Tofind:The lengths of the sides of right triangle. Prove that these lengths satisfy Pythagorean Theorem.
Answer to Problem 41E
The length of three sides of right triangle are
Explanation of Solution
Given information:
The vertices of the triangle are
Calculation:
The vertices of the right triangle are
Use the distance formula for two points
The distance between the points
So, the length of thefirst side of triangle is
The distance between the points
So, the length of the second side triangle is
The distance between the points
So, the length of the third side of triangle is
Therefore, yhe length of three sides of right triangle are
Let us check the Pythagorean Theorem.
Take the left side of the equation.
Hence the lengths of the right triangle satisfy the Pythagorean Theorem.
Chapter 10 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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