What is the length of this line? khan academy - Distance between two points

D = √[(x2 - x1)² + (y2 - y1)²]

Step-by-step explanation:

Given a right-angled triangle, with sides: Hypotenuse D, and opposites (x2 - x1) and (y2 - y1).

Then by Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the opposite side.

That is,

D² = (x2 - x1)² + (y2 - y1)²

Now, taking square roots of both side, we have the formula for the distance or length D.

D = √[(x2 - x1)² + (y2 - y1)²]

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

898.1666667

step-by-step explanation:

5389/6 = 898.1666667