Question

p.3 converse of the pythagorean theorem hck a triangle has sides with lengths of 6 inches, 12 inches, and 15 inches. is it a right triangle? yes no submit

Explanation:

Step1: Recall converse of Pythagoras

For sides $a,b,c$ ($c$ longest), check $a^2+b^2=c^2$.

Step2: Assign values to variables

Let $a=6$, $b=12$, $c=15$.

Step3: Calculate left-hand side (LHS)

$6^2 + 12^2 = 36 + 144 = 180$

Step4: Calculate right-hand side (RHS)

$15^2 = 225$

Step5: Compare LHS and RHS

$180
eq 225$, so the condition fails.

Answer:

no