Question

Is it possible to have a triangle with the following sides. Give reasons for your ans 8. AABC, AB = 7 cm, BC = 3 cm, AC = 8 cm . AXYZ, XY = 5 cm, YZ = 12 cm, XZ = 7 cm APQR, PQ = 54 m, QR = 105 m, PR = 45 m ALMN, LM = 3.9 cm, MN = 4.1 cm, NL = 6.8 cm ARST, RS = 6.4 cm, ST = 2.9 cm, RT = 11.7 cm​

Answer 1

Step-by-step explanation:

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