Question

classify the triangle based on side lenghts 5,15,19.
A.right
B.acute
c.obtuse
d. no triangle can be formed with given side lengths

Answer 1

a triangle can be formed and you can use pythagoras' theorem

if c^2 < a^2 + b^2 the triangle is acute angled
c^2 = a^2 + b^2 the triangle is right angled
c^2 > a^2 + b^2 the triangle is obtuse angled

then 19^2 = 15^2 + 5^2
361 > 250

the triangle is obtuse angled.