Name the types of following triangles:(a) Triangle with lengths of sides 7 cm, 8 cm and 9cm. (b) ABC with AB = 8.7 cm, AC = 7 cm and BC = 6cm. (c) PQR such that PQ = QR = PR = 5cm. (d) DEF with D = 90 degrees (e) XYZ with Y = 90 and XY = YZ (f) LMN with L = 30, M = 70 and N = 80.
Answer: a) scalene triangle b) scalene triangle c) equilateral triangle d) right-angled triangle e) isosceles right-angled triangle f) acute-scalene triangle
Let's solve this step by step.
Explanation:
(a) Triangle with lengths of sides 7 cm, 8 cm, and 9cm will have all its sides of different lengths.
Hence, it will be a scalene triangle.
(b) ABC with AB = 8.7 cm, AC = 7 cm and BC = 6cm will have all its sides of different lengths.
Hence, it will be a scalene triangle.
(c) PQR such that PQ = QR = PR = 5cm will have all its sides of equal lengths.
Hence, it will be an equilateral triangle.
(d) DEF with D = 90 degrees will have one right angle inside the triangle.
Hence, it will be a right-angled triangle.
(e) XYZ with Y = 90 and XY = YZ will have two sides of equal length, and one right angle inside the triangle.
Hence, it will be an isosceles right-angled triangle.
(f) LMN with L = 30, M = 70, and N = 80 will have all angles different, hence making all the sides different.
Hence, it will be an acute-scalene triangle.
Thus, a) scalene triangle b) scalene triangle c) equilateral triangle d) right-angled triangle e) isosceles right-angled triangle f) acute-scalene triangle
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