a.
To find: the length of DE of the given
a.

Answer to Problem 7CR
Explanation of Solution
Given:
In the given triangle,
Calculation:
According to the question, the dimensions of the triangles are given,
Now, apply Thale’s theorem
Therefore, the length of DE of the given triangle is
b.
To find: the length of CD of the given triangle.
b.

Answer to Problem 7CR
Explanation of Solution
Given:
In the given triangle,
Calculation:
According to the question, the dimensions of the triangles are given,
Now, apply Thale’s theorem
Therefore, the length of DE of the given triangle is
c.
To check: whether the triangle ABE is a right triangle.
c.

Answer to Problem 7CR
No.
Explanation of Solution
Given:
In the given triangle,
Calculation:
According to converse of Pythagoras theorem,
Hence, the triangle ABE is not the right triangle.
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