Question

15,35,40 will it make a right triangle

Answer 1

NO.

15, 35, 40 it will make an obtuse triangle.

Explanation:

If a ≤ b ≤ c are sides of a triangle, then a + b > c.

We have a = 15, b = 35, c = 40.

Check:

15 + 35 = 50 > 40 CORRECT

These sides can be the sides of a triangle.

If a ≤ b ≤ c are sides of a triangle, then

if a² + b² = c², then it's a right triangle

if a² + b² < c², then it's an obtuse triangle

if a² + b² > c², then it's an acute triangle

Check:

15² + 35² = 225 + 1225 = 1450

40² = 1600

1450 < 1600 ⇒ 15² + 35² < 40²

Therefore it's an obtuse triangle

Answer 2

NO.

Explanation:

If it is a right triangle then by the Inverse of the Pythagoras Theorem:

40^2 = 35^2 + 15^2

Testing:

40^2 = 1600

35^2 + 15^2 = 1225 + 225 = 1450

So the answer is NO>