Question

Is a triangle with sides 10 cm, 24 cm, and 26 cm a right triangle? a. yes b. no

Answer 1

Answer:

Step-by-step explanation:

Pythagoras' Theorem states ' the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other

2 sides '

The converse of this is ' if the square on the longest side of a triangle equals the sum of the squares on the other 2 sides then the triangle is right'.

(longest side)^2

=

27

2

=

729

and  

10

2

+

24

2

=

100

+

576

=

676

now 729 ≠ 676 , hence not a right triangle.

Answer 2

Answer:

Step-by-step explanation:

This is a right-angled triangle. So, The sides with 10cm and 24cm are the base and altitude, while the side with 26cm is the hypotenuse.