Question

The legs of an isosceles right triangle are 11 cm long. Find the length of the hypotenuse. Round to the nearest tenth if necessary

Answer 1

11^2+11^2=x^2
x^2=121+121=242
x=11*sqrt2

Answer 2

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.

Answer 3

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