Question

finding distance of a slanted line. use pythagoreans theorem. what is the length/distance of the segment shown? feel free to use the sketching tool to help! 13 units 12 units 5 units 169 units

Explanation:

Step1: Identify right - triangle sides

Count the horizontal and vertical displacements. Assume horizontal displacement $a$ and vertical displacement $b$. By counting the grid squares, if we assume the starting and ending points of the line segment, we find that the horizontal displacement $a = 5$ units and the vertical displacement $b=12$ units.

Step2: Apply Pythagorean theorem

The Pythagorean theorem for the length $d$ of the hypotenuse of a right - triangle is $d=\sqrt{a^{2}+b^{2}}$. Substitute $a = 5$ and $b = 12$ into the formula: $d=\sqrt{5^{2}+12^{2}}=\sqrt{25 + 144}=\sqrt{169}=13$.

Answer:

13 units