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Byju's Answer
Standard IX
Mathematics
Triangles
The differenc...
Question
The difference between the largest and the smallest angle of the given triangle is:
A
∠
B
−
∠
C
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B
∠
C
−
∠
B
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C
∠
B
−
∠
A
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D
∠
A
−
∠
B
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Solution
The correct option is
C
∠
B
−
∠
A
Given, in
Δ
A
B
C
,
A
C
=
3
,
A
B
=
8
and
B
C
=
10
Hence, the ascending order of sides is
A
C
,
A
B
,
B
C
In any triangle, the angle opposite to the longer side is larger.
∴
Ascending order of angles is
∠
B
,
∠
C
,
∠
A
.
⇒
∠
B
<
∠
C
<
∠
A
∴
The difference of the largest and the smallest angle of the given triangle is
∠
A
−
∠
B
.
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