To find: whether then coordinates form right angle triangle and classify the triangle by its side.
Answer to Problem 9E
It is a scalene triangle not a right triangle.
Explanation of Solution
Given:
Concept used:
Sum of the three angles of triangle is always
The distance formula:
If two lines are perpendicular to each other than the slope is:
Calculation:
A triangle is classified by its sides as scalene, isosceles or equilateral triangle.
Using the three vertices of the triangle
Using the distance formula:
From distance formula its cleared that the triangle
A triangle is a right triangle if two of its sides are perpendicular, forming a right angle.
Using the slope formula, calculate the slope of
For two line to be perpendicular to each other the product od slope of both the line should be
There is no combination of slopes such that their product gives
Perpendicular lines form a right angle.
If a triangle does not contain a right angle then it is not right triangle.
Hence, it is a scalene triangle not a right triangle.
Chapter 12 Solutions
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