Question

3. An isosceles right triangle is a right triangle with congruent legs. If the length of each leg is represented by x, what algebraic expression can be used to represent the length of the hypotenuse? Explain your reasoning

please don't answer if you don't know​

Answer 1

Explanation:

right triangle means Pythagorean theorem!

a^2+b^2=c^2

if each leg (a and b) = x, then

x^2+x^2=c^2

2x^2=c^2

solving for c by taking the square root of both sides leaves

c=x×sqrt(2)

c must be positive since its a length, so no need for a +- I. this case