To find: Whether the two given
Answer to Problem 43PPS
The two isosceles triangle are sometimes similar.
Explanation of Solution
Given:
The give triangles are two isosceles triangle.
Calculation:
Consider that the two
Thus if the given angles are congruent and the given sides are proportional then the two isosceles triangle are similar.
Consider the case of the scalene triangle and the isosceles triangle as shown in Figure 1
Figure 1
The above angles are not at all congruent and the two isosceles triangle are not similar.
Consider the case of two isosceles triangle is shown in Figure 2
Figure 2
Thus, the two isosceles triangle are sometimes similar.
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning