Question

Classify the triangle with 9, 15, 19 as an acute right obtuse or not a triangle

Answer 1

Hence the correct option is the last one . The triangle is an obtuse angled triangle.

Explanation:

i) the sum of any two sides added together is greater than the third side hence this is a triangle.

ii) it is not a right angled triangle as
`\sqrt{9^(2) + 15^(2) } \\eq 19` and
`\sqrt{9^(2) + 15^(2) } < 19`

iii) the triangle is not acute from ii) above

iv) the triangle is an obtuse triangle from ii) above.