206k views
4 votes
Is this a right triangle?
15 m, 36 m, 39 m

User Kale
by
8.1k points

2 Answers

3 votes

Answer:

Yes

Explanation:


As\ we\ know\ that,\\The\ sides\ of\ a\ right\ triangle\ are\ pythagorean\ triplets\ in\ the\ form:\\a^2+b^2=c^2\\Here,\\39\ is\ the\ hypotenuse\ as\ it\ is\ the\ longest\ side.\\Hence,\\a^2+b^2=c^2\\Substituting\ a=15,b=36\ on\ the\ LHS,\\15^2+36^2\\=225+1296\\=1521\\On\ the\ RHS\ ,lets\ substitute\ c=39.\\Hence,\\c^2=39^2\\c^2=1521\\As\ LHS=RHS,\ The\ given\ triangle\ is\ a\ right\ triangle.

User Munish Poonia
by
8.7k points
4 votes

Answer:

YES

Explanation:

use pythagorean theorem

15^2 + 36^2 = 39^2

225 + 1296 = 1521

1521=1521

User Zaheer Ahmed
by
7.7k points

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