If there was a scalene ∆ABC in which all its angles have integral values, what would be the maximum possible value for ∠ABC? Which type of triangle would ∆ABC be, on the basis of its angles? [2 MARKS]

Open in App

Solution

Concept Application: 1 Mark
Correct Answer: 1 Mark

In scalene triangles, all the angles are different. For $∠ A B C$ to be maximum, the other two angles must be minimum, but different (since scalene triangle).

The minimum value of the other angles will, therefore, be $1^{\circ}$ and $2^{\circ}$ as the angles have an integral value. Hence, for a scalene triangle the maximum integral value of $∠ A B C = 177^{\circ}$ .
The following triangle will be an Obtuse angled triangle.

Suggest Corrections

Similar questions

If there is a scalene ∆ABC in which all its angles have integral values, what would be the maximum possible value for ∠ABC? Which type of triangle would ∆ABC be, on the basis of its angles? [2 MARKS]

Δ A B C

is which type of a triangle?

Construct a triangle ABC in which BC is 5 cm, Angle B is $60^{\circ}$ and AB-AC=0 cm. What type of triangle is this?

Q. In a

Δ A B C

B C = 1

and

A C = 2

. Find the maximum possible value of angle A.

Q. In

Δ A B C, A B = A C a n d ∠ B = \frac{∠ A}{2}

what type of triangle is

Δ A B C

Join BYJU'S Learning Program