Question
The angles of a triangle are in the ratio 5:3:7. The triangle is
Answer: Option B
:
B
The sum of all the three angles of a triangle = 180∘
Since the angles are in the ratio 5:3:7, let x be a factor such that,
5x+3x+7x =180∘
⇒ 15x =180∘
⇒ x =12∘
Hence the three angles of the triangle are:
⇒ 5x =5×12∘ =60∘
⇒ 3x =3×12∘ =36∘
⇒ 7x =7×12∘ =84∘
Since all the angles in the triangle are less than 90∘, the triangle is an acute angled triangle.
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:
B
The sum of all the three angles of a triangle = 180∘
Since the angles are in the ratio 5:3:7, let x be a factor such that,
5x+3x+7x =180∘
⇒ 15x =180∘
⇒ x =12∘
Hence the three angles of the triangle are:
⇒ 5x =5×12∘ =60∘
⇒ 3x =3×12∘ =36∘
⇒ 7x =7×12∘ =84∘
Since all the angles in the triangle are less than 90∘, the triangle is an acute angled triangle.
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