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Tinascott
The legs of an isosceles right triangle are 11 cm long. Find the length of the hypotenuse. Round to the nearest tenth if necessary
11^2+11^2=x^2 x^2=121+121=242 x=11*sqrt2
Pythagoras' theorem tells us that \[a^2+b^2=c^2\]We know a and b are 11, and we want to find c. Substitute a and b into the equation and rearrange to solve for c.
Use what you know about the special right triangles. The leg multiplied by sqrt2 will give you the hypotenuse of an isosceles right triangle. So multiply 11 by 1.414