Question

question 7 which set of side lengths can be used to form a right triangle? 10, 20, 30 2, 3, 4 4, 5, 6 30, 40, 50

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side.

For \(10,20,30\):

\(10^{2}+20^{2}=100 + 400=500\), \(30^{2}=900\). Since \(500
eq900\), this is not a right - triangle.

For \(2,3,4\):

\(2^{2}+3^{2}=4 + 9 = 13\), \(4^{2}=16\). Since \(13
eq16\), this is not a right - triangle.

For \(4,5,6\):

\(4^{2}+5^{2}=16+25 = 41\), \(6^{2}=36\). Since \(41
eq36\), this is not a right - triangle.

For \(30,40,50\):

\(30^{2}+40^{2}=900+1600 = 2500\), \(50^{2}=2500\). Since \(30^{2}+40^{2}=50^{2}\), this is a right - triangle.

Answer:

\(30,40,50\)