Concept explainers
Tofind:The lengths of the sides of triangle with vertices
Answer to Problem 45E
The length of three sides of the 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, the length of three sides of triangle are
The lengths of all sides of triangle are different. Therefore, the given triangle is not an isosceles triangle.
Let us check the Pythagorean Theorem.
No two combination of the lengths of sides of the triangle satisfy Pythagorean theorem.
Therefore, the triangle is neither an isosceles nor a right triangle.
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