Answer:
Yes
Step-by-step explanation:
To see if the Triangle is right use Pythagorean theorem which is A^2+B^2=C^2
A and B are to 10 and 24 because the longest side, the hypotenuse is C
10^2+24^2=676
26^2=676
Therefore the triangle is right
So for this, plug in the potential side lengths into the pythagorean theorem, which is [tex]a^2+b^2=c^2[/tex] , where a and b are the legs and c is the hypotenuse. Remember that the hypotenuse is the longest side of the triangle, so plug in 26 into the c variable and 10 and 24 into the a and b variable:
[tex]10^2+24^2=26^2[/tex]
Firstly, solve the exponents:
[tex]100+576=676[/tex]
Lastly, add up the left side:
[tex]676=676[/tex]
Since 676 = 676 is a true statement, this means that these side lengths can be a right triangle.
