Special Right Triangles (Radical Answers)

x = 5*sqrt(2)

Step-by-step explanation:

Equation

Use the Pythagorean Theorem to get the value of x. If the triangle is isosceles, it means that both lets are equal to x.

x^2 + x^2 = 10^2

2x^2 = 100

x^2 = 50

x^2 = 5 * 5 * 2

sqrt(x^2) = sqrt(5*5*2)

x = 5*sqrt(2)

There is no denominator to rationalize. The answer is given as a irrational root.  The only other way to present it is in an approximate decimal form.

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.