1. In triangle ABC, angle C = 90°.
If BC = a, AC = b and AB = c, find :
(1) c when a = 8 cm and b = 6 cm.
(ii) a when c = 25 cm and b = 7 cm
(iii) 6 when c = 13 cm and a = 5 cm
Answers
Given : In triangle ABC, angle C = 90°. BC = a, AC = b and AB = c,
To Find : (1) c when a = 8 cm and b = 6 cm.
(ii) a when c = 25 cm and b = 7 cm
(iii) 6 when c = 13 cm and a = 5 cm
Solution:
triangle ABC, angle C = 90°.
=> AC & BC are perpendicular sides and AB is hypotenuse
Using Pythagoras theorem
=> AC² + BC² = AB²
=> b² + a² = c²
(1) c when a = 8 cm and b = 6 cm.
6² + 8² = c²
=> 36 + 64 = c²
=> 100 = c²
=> c = 10
(ii) a when c = 25 cm and b = 7 cm
7² + a² = 25²
=> 49 + a² = 625
=> a² = 576
=> a² = 24²
=> a= 24
(iii) 6 when c = 13 cm and a = 5 cm
b² + 5² = 13²
=> b² + 25 = 169
=> b² = 144
=> b = 12
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