“If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, then the two triangles must be congruent.” Is the statement true? Why?
Solution:
Using the congruent rule, two sides and included angle of one triangle are equal to the two sides and included angle of another triangle according to SAS rule.
The SAS criterion states that If two sides of one triangle are respectively proportional to two corresponding sides of another, and if the included angles are equal, then the two triangles are congruent.
The angles should be included angles of their two given sides.
Therefore, the statement is false.
✦ Try This: Two sides of a triangle are of lengths 7 cm and 3.5 cm. The length of the third side of the triangle cannot be a. 3.6 cm, b. 4.1 cm, c. 3.8 cm, d. 3.4 cm
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 7
NCERT Exemplar Class 9 Maths Exercise 7.2 Problem 3
“If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, then the two triangles must be congruent.” Is the statement true? Why
Summary:
The statement “If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, then the two triangles must be congruent” is false
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