Find The Type of Triangle ? If

If the measure of three angles of a triangle are in the ration 2 : 3 : 5, then the triangle is :

  1. right triangle
  2. obtuse angled
  3. isosceles
  4. equileteral
Anurag Mishra Professor Asked on 18th August 2015 in Maths.
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1 Answer(s)

Answer: (1) right triangle

Explanation:
The measure of three angles of a triangle are in the ration 2 : 3 : 5,

Then, Let the measure of three angles of a triangle are 2 X, 3 X & 5 X.

We know that,  The total sum of three angles of a triangle is 180 degree.
Then, 2 X + 3 X + 5 X =180
10 X = 180
X = 180/ 10
X = 18 degree

Then, the measure of three angles are 2 X = 2 x 18 = 36 degree,  3 X = 3 x 18 =  54 degree  & 5 X = 5 x 18 = 90 degree
We know that the right triangle has an 90 degree angle.

Then, the triangle is right triangle .

Hence, the answer is (1) right triangle.

Anurag Mishra Professor Answered on 21st August 2015.
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