Question

The angels of a triangle are in the ratio 4:3:13, the triangle is a) an isosceles triangle b) an obtuse triangle c) an equilateral triangle d) a right angle

Answer 1

Answer:

The angels of a triangle are in the ratio 4:3:13, the triangle is a) an isosceles triangle b) an obtuse triangle c) an equilateral triangle d) a right angle

Answer 2

Step-by-step explanation:

Let the 3 angles be 4x , 3x , 13x

We know sum of angles in a triangle is 180°

So,

4x + 3x + 13x = 180°

=> 20x = 180°

=> x = 9°

We have our angles as:

4x = 4×9° = 36°

3x = 3×9° = 27°

13x = 13×9° = 117°

Clearly all the angles are different. So our option equilateral and isosceles triangle is wrong as in equilateral triangle all angles are equal and in isosceles triangle two angles are equal.

No angle is 90°. Therefore it is not a right angled triangle. In a right angled triangle we need 1 angle to be 90°

The last is obtuse triangle must be corrrect. For a obtuse triangle one angle must be more than 90°. And we have got 117° as one of our angles.

Obtuse triangle is your answer.

Pretty simple.