Answer:
Step-by-step explanation:
Is a ≤ b < c are the side lengths of a right triangle, then
[tex]a^2+b^2=c^2[/tex]
A. 6cm, 8cm, 10cm.
Substitute:
[tex]6^2+8^2=10^2\\36+64=100\\100=100\to TRUE[/tex]
B. 12cm, 35cm, 37cm.
Substitute:
[tex]12^2+35^2=37^2\\144+1225=1369\\1369=1369\to TRUE[/tex]
C. 4cm, 6cm, 10cm.
It's not the side lengths of a triangle, because 4 + 6 = 10.
Without looking at it, we will check equality
[tex]4^2+6^2=10^2\\16+36=100\\52=100\to FALSE[/tex]
D. 10cm, 24cm, 26cm.
Substitute:
[tex]10^2+24^2=26^2\\100+576=676\\676=676\to TRUE[/tex]
The measurement that could not represent the side length of a right triangle is 4 cm, 6 cm, 10 cm.
A right triangle is a triangle that consists of three sides. The longest side is the hypotenuse. The other sides are the base and the length. The sum of angles in a triangle is 180 degrees.
According to this theorem, the square of the hypotenuse should be equal to the sum of the square of the other two sides.
The Pythagoras theorem: a² + b² = c²
where:
a = length
b = base
c = hypotenuse
6² + 8² = 10²
36 + 64 = 100
Option B = 12² + 35
= √144 + 1225
= √1369
= 37
Option C = 4² + 6²
16 + 36
= √52
= 7.2
Option D: 10² + 24² = 26²
100 + 576
= √676
= 26
Please find attached an image of a right triangle. To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675
