(a)
To find: The coordinate proof of the given statement.
(a)
Answer to Problem 27E
The work done by a force in moving an object from
Explanation of Solution
Given information:
The midpoint of the hypotenuse of a right angle is the same distance from each vertex of the triangle.
The above graph is a right angle triangle. From the graph it can be seen that the point
Now calculate the distance between the points
The distance between two points can be calculated by the formula,
The length of
Similarly, the length of
And,
From the above conclusion it can be clearly seen that the values of
Therefore, the midpoint of a hypotenuse of right angle triangle is equidistant from each of its vertex.
(b)
To find:The coordinate proof of the statement.
(b)
Answer to Problem 27E
The triangle
Explanation of Solution
Given information:
Any two congruent right isosceles triangles can be combined to form a single isosceles triangle.
In triangle
Hence, the triangles are congruent.
The length of both the triangles is
Thus, both these combine to form a single isosceles triangle.
Therefore, the triangle
Chapter 12 Solutions
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