Which of the following set of measurements will form a right angle triangle?
6, 9, 12
5, 8, 10
5, 5, 5$\sqrt{2}$
3, 4, 4$\sqrt{2}$
Explanation:
Right angled triangle=>$AB^{2}+BC^{2}=AC^{2}$
=>$5^{2}+5^{2}=(5\sqrt{2})^{2}$
=>25+25=$25\times 2$
=>50=50
Right angled triangle=>$AB^{2}+BC^{2}=AC^{2}$
=>$5^{2}+5^{2}=(5\sqrt{2})^{2}$
=>25+25=$25\times 2$
=>50=50