Answer
right
Work Step by Step
Comparing the square of the longest side to the sum of the squares of the other two sides will tell you if a triangle is obtuse, acute, or right.
If $c^{2}$$\gt$$a^{2}$+$b^{2}$, then the triangle is obtuse
If $c^{2}$$\lt$$a^{2}$+$b^{2}$, then the triangle is acute
If $c^{2}$$=$$a^{2}$+$b^{2}$, then the triangle is right
Substitute in the greatest value in for c, which is 50.
Substitute the other two values, 30 and 40, in for a and b
$c^{2}$$\square$$a^{2}$+$b^{2}$
$50^{2}$$\square$$30^{2}$+$40^{2}$
2500$\square$900+1600
2500$\square$2500
2500$=$2500
Since $c^{2}$$=$$a^{2}$+$b^{2}$, the triangle is right.
