Mathematics: Which measurements could not represent the side lengths of a right triangle? * 1 point a. 6 cm, 8 cm. 10 cm b. 12 cm, 35 cm, 37 cm c. 4 cm, 6 cm, 10 cm d. 10 cm, 24 cm, 26 cm

i subscribed, love your channel btw...

Which measurements could not represent the side lengths

xxxschooltimexxx

16.01.2022

C. 4cm, 6cm, 10cm

Step-by-step explanation:

Is a ≤ b < c are the side lengths of a right triangle, then

a^2+b^2=c^2

A. 6cm, 8cm, 10cm.

Substitute:

$6^2+8^2=10^2\\36+64=100\\100=100\to TRUE$

B. 12cm, 35cm, 37cm.

Substitute:

$12^2+35^2=37^2\\144+1225=1369\\1369=1369\to TRUE$

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

$4^2+6^2=10^2\\16+36=100\\52=100\to FALSE$

D. 10cm, 24cm, 26cm.

Substitute:

$10^2+24^2=26^2\\100+576=676\\676=676\to TRUE$

0,0(0 оценок)