8.) Construct an isosceles AABC in which AB = 8 cm, BC = 8 cm and CA = 9 cm.
(i) Measure ZB and ZC of the triangle
(ii) Are these angles equal?
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Answer:
⇒ We have given that given △ABC is isosceles triangle.
⇒ ∠A = 90∘ [Given]
⇒ then, ∠B = ∠C = 45
∘
[ ∵ Two angles of isosceles triangle are equal]
⇒ Steps of construction are given below :-
⇒ Take a line segment BC = 6.8cm.
⇒ Construct angles of 45
∘
at points B and C which is meet at point A.
⇒ Measure line segment AB and AC.
⇒ We get, AB=AC=4.8cm
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