Find The Triangle ? If

If the three angles of a triangle are (x+15),

q-131then the triangle is :

  1. Isosceles
  2. Equilateral
  3. Right triangle
  4. Scalene
RohitKumar Default Asked on 22nd August 2015 in Maths.
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1 Answer(s)

Answer:  (2) Equilateral

Explanation:-
As we know that, the sum of the angles of a triangle always is 180 degree.
Then,
(x + 15) + (6 x/5 + 6) + (2 x/3 + 30) = 180
x + 15 + 6 x /5 + 6 + 2 x/3 + 30 = 180
x + 6 x/5 + 2 x/3 = 180 – 30 – 15 – 6
(15 x + 18 x  + 10 x )/15 = 129
43 x = 129 x 15
x = 129 x 15/43
x = 3 x 15
x = 45 degree

Then, the value of x + 15 = 45 + 15 = 60 degree
The value of 6 x / 5 + 6 = 6 x 45/5 + 6
= 6 x 9 + 6 = 54 + 6 = 60 degree
And third angle = 180 – (60 + 60)
= 180 – 120 = 60 degree

Then, the triangle is equilateral .

Hence, the answer is (2) Equilateral.

Anurag Mishra Professor Answered on 22nd August 2015.
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