Question

Find the length of the leg(s) of a right triangle, to the nearest hundredth, if both legs are equal and the hypotenuse is 10.

Answer 1

Answer:

7.07 units

Step-by-step explanation:

Use the Pythagorean theorem for the right triangle:

$\text{hypotenuse}^2=\text{leg}_1^2+\text{leg}_2^2,\\ \\c^2=a^2+b^2.$

If a = x, b = x, and c = 10, then

$10^2=x^2+x^2,\\ \\100=2x^2,\\ \\x^2=50,\\ \\x=\sqrt{50}=5\sqrt{2}\approx 7.07\ units.$