∆ABC and ∆XYZ are two triangles such that AB = XY = 6 cm, AC = XZ = 4 cm. Class 7
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∆ABC and ∆XYZ are two triangles such that AB = XY = 6 cm, AC = XZ = 4 cm. Class 7
Question 1.
∆ABC and ∆XYZ are two triangles such that AB = XY = 6 cm, AC = XZ = 4 cm, and ∠B = ∠Y = 30°. Are they congruent? Class 7
Solution:
No.
Question 2.
Can there exist non-congruent triangles having these measurements? Construct and find out. Class 7
Solution:
Yes. For example, see triangles PRQ and PSQ drawn on page 12 of the textbook.
Question 3.
∆ABC and ∆XYZ are two triangles with, BC = YZ = 5 cm, ∠B = ∠Y = 50° and ∠C = ∠Z = 30°. Are they congruent? Class 7
Solution:
Yes.
Question 4.
Can there exist non-congruent triangles having these measurements? Construct and find out. Class 7
Solution:
No. By actual constructions, it can be checked.