To prove: Whether the given two
Explanation of Solution
Given information: A right triangle and an acute triangle.
Definition used:
- A triangle consist of the right angle is called the right triangle.
- A triangle consists of three
angles less than the right angle is called an acute triangle. - The
triangles that measure the same angle but not the same size, are called similar triangles.
Proof: In a right-angled triangle, one angle is
Here,
And, in an acute triangle, all three angles are less than
Here,
We can see the two angles of the right triangle and an acute triangle can be the same. But, it is not possible to have all three angles of the same measurement.
And, for similar triangles, all three angles must be of the same measurement. So, a right triangle and an acute triangle can never be a similar triangle.
Chapter 7 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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