Answer :
Answer:
It is not a right triangle
Step-by-step explanation:
A triangle has side lengths of 8 inches, 12 inches, and 16 inches.
To determine if it is a Right Triangle, we make use of the Pythagoras Theorem, i.e.
[tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]
Now the Hypotenuse is always the longest side
[tex]16^{2} =8^2+12^2\\256=64+144\\256=208[/tex]
The equality above is not true and in fact
[tex]256\neq 208[/tex]
Therefore the 3 numbers do not satisfy Pythagoras theorem and cannot be the lengths of a right triangle.
Answer:
A triangle has side lengths of 8
8
inches, 12
12
inches, and 16
16
inches.
Determine whether this is a right triangle and why.
CLEAR CHECK
No, because 8‾√+12‾‾‾√
8
+
12
is not equal to 16‾‾‾√
16
.
Yes, because 8‾√+12‾‾‾√
8
+
12
is equal to 16‾‾‾√
16
.
No, because 82+122
8
2
+
12
2
is not equal to 162
16
2
.
Yes, because 82+122
8
2
+
12
2
is equal to 162
16
2
.
Step-by-step explanation: