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does the side lengths 8,15,17 make a right triangle

 Jan 8, 2015

Best Answer 

 #2
avatar+26402 
+5

does the side lengths 8,15,17 make a right triangle

a = 8    b = 15    c = 17

$$\\ \small{\text{
$
a^2 \stackrel?= c^2-b^2 =(c-b)(c+b)
$
}}$\\$
\small{\text{
$
a^2 \stackrel?= (c-b)(c+b)
$
}}$\\$
\small{\text{
$
8*8 \stackrel?= (17-15)(17+15)
$
}}$\\$
\small{\text{
$
64 \stackrel?= (2)*(32)
$
}}$\\$
\small{\text{
$
64 = 64
$
}}$$

Yes, it is a right triangle

 Jan 8, 2015
 #1
avatar+118724 
+5

Well does 17 ^2

Equal

8^2+15^2

If it does then it is a right angled triangle

 Jan 8, 2015
 #2
avatar+26402 
+5
Best Answer

does the side lengths 8,15,17 make a right triangle

a = 8    b = 15    c = 17

$$\\ \small{\text{
$
a^2 \stackrel?= c^2-b^2 =(c-b)(c+b)
$
}}$\\$
\small{\text{
$
a^2 \stackrel?= (c-b)(c+b)
$
}}$\\$
\small{\text{
$
8*8 \stackrel?= (17-15)(17+15)
$
}}$\\$
\small{\text{
$
64 \stackrel?= (2)*(32)
$
}}$\\$
\small{\text{
$
64 = 64
$
}}$$

Yes, it is a right triangle

heureka Jan 8, 2015

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