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Byju's Answer
Standard VI
Mathematics
Construction of 30, 60, 90 and 120 Degree Angles
Question 6Wri...
Question
Question 6
Write True or False and give reasons for your answer:
A
Δ
A
B
C
can be constructed in which
∠
B
=
60
∘
,
∠
C
=
45
∘
and AB + BC + CA = 12cm.
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Solution
True
We know that, sum of angles of a triangle is
180
∘
.
∴
∠
A
+
∠
B
+
∠
C
=
180
∘
H
e
r
e
,
∠
B
+
∠
C
=
60
∘
+
45
∘
=
105
∘
<
180
∘
Thus,
Δ
A
B
C
with given conditions can be constructed.
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Similar questions
Q.
Question 3
Write True or False and give reasons for your answer:
A
Δ
A
B
C
can be constructed in which AB = 5cm,
∠
A
=
45
∘
and BC + AC = 5cm.
Q.
A
Δ
ABC can be constructed in which
∠
B = 60
∘
,
∠
C = 45
∘
, and AB + BC + CA = 12cm.
Q.
Question 1
Write True or False and give reasons for your answer:
An angle of
52.5
∘
can be constructed.
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