Question

5. Can these three numbers represent the sides of a triangle? If yes, will they form a right,
acute, or obtuse triangle? Show work to support your answer.
10,3,5

Answer 1

Answer:

Obtuse triangle

Step-by-step explanation:

right triangle:

c² = a² + b²

10² = 3² + 5²

100 = 34 NO!

acute triangle:

c² <  a² + b²

10² < 3² + 5²

100 < 34 NO!

Obtuse triangle:

c² > a² + b²

100 > 34 YES