Solve for c
c=5\sqrt{13}\approx 18.027756377
Assign c
c≔5\sqrt{13}
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c=\sqrt{100+15^{2}}
Calculate 10 to the power of 2 and get 100.
c=\sqrt{100+225}
Calculate 15 to the power of 2 and get 225.
c=\sqrt{325}
Add 100 and 225 to get 325.
c=5\sqrt{13}
Factor 325=5^{2}\times 13. Rewrite the square root of the product \sqrt{5^{2}\times 13} as the product of square roots \sqrt{5^{2}}\sqrt{13}. Take the square root of 5^{2}.
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