Mathematics
In a △ABC, ∠A = 40° and ∠B = 60°. The longest side of the triangle is:
AB
BC
CA
None of these
Triangles
3 Likes
Answer
In △ABC,
By angle sum property of triangle,
⇒ ∠A + ∠B + ∠C = 180°
⇒ 40° + 60° + ∠C = 180°
⇒ ∠C + 100° = 180°
⇒ ∠C = 180° - 100°
⇒ ∠C = 80°
We know that,
The longest side of a triangle has the largest angle opposite to it.
Since, angle C is the greatest, thus AB is longest side of the triangle.
Hence, option 1 is the correct option.
Answered By
1 Like
Related Questions
If a, b, c be the lengths of the sides of a triangle, then :
a = b + c
a < b + c
a > b + c
a < b - c
In a △ABC, AB > BC > CA. Then :
AB - BC < CA
AB - BC > CA
AB + BC < CA
None of these
In a △ABC, AB = 6 cm, BC = 7 cm and CA = 8 cm. The smallest angle of the triangle is :
∠A
∠B
∠C
None of these
In a △ABC, 2∠A = 3∠B and ∠C = 100°. The correct ascending order of sides of the triangle is :
AC < BC < AB
BC < AC < AB
AB < AC < AB
BC < AB < AC