Question

Can 12m, 35m and 37m make a right triangle

Answer 1

Answer:

no

Step-by-step explanation:

because a right triangle has one angle that measures at 90 degrees and none of those angle measurements are 90 degrees

Answer 2

Answer:

YES

Step-by-step explanation:

Explanation:

If this is a right triangle we can then substitute the sides of the triangle (12 and 35) and the hypotenuse (37) into the Pythagoras Theorem and the two sides of the equation will be equal. If this is not a right triangle the two sides of the equation will not be equal.

The Pythagoras Theorem is  

a

2

+

b

2

=

c

2

Substituting we get:

12

2

+

35

2

=

37

2

12

⋅

12

+

35

⋅

35

=

37

⋅

37

144

+

1225

=

1369

1369

=

1369

Because these are equal this is a right triangle.