Question

2. In AABC, LA =60°, LB=90°, LC=30°, AB=V3cm. AC =
(by 30° -60° - 90° triangle theorem.)​

Answer 1

Answer:

Solution:

In a right-angled triangle if two sides are given then the third side can be calculated using the Pythagoras theorem.

Given that, in the right triangle ABC, ∠ B = 90°, thus AC is the hypotenuse

(i) AB = 6 cm, BC = 8 cm, AC = ?

According to Pythagoras theorem,

AC2 = AB2 + BC2

AC2 = (6)2 + (8)2

AC2 = 100

AC = √100 = 10 cm

(ii) AC = 13 cm, BC = 5 cm, AB = ?

According to Pythagoras theorem

AC2 = AB2 + BC2

(13)2 = AB2 + (5)2

169 = AB2 + 25

AB2 = 169 - 25 = 144

AB = √144 = 12 cm

Therefore, the length of sides AC and sides AB in the respective right triangles are AC = 10 cm and AB = 12 cm.