Question

What is the measurement of DC? How do you know ?

Answer 1

The vertices B, C and D form a right triangle.

Knowing 2 sides of the tright triangle, like BD and BC, we can find the length ofthe third side, DC, using the Pythagorean theorem: the sum of the squares of the length of the legs, DC and BC, is equal to the square of the length of the hypotenuse BD.

`DC^2+BC^2=BD^2`

Replacing with the values, we can calculate DC:

`\begin{gathered} DC^2+60^2=100^2 \\ DC^2+3600=10000 \\ DC^2=10000-3600 \\ DC^2=6400 \\ DC=\sqrt[]{6400} \\ DC=80 \end{gathered}`

Answer:

The correct options are

A: 80

B: Pythagorean theorem