Question

Can I have help with this one asap?

Answer 1

In Δ CFD , CD is the LONGEST side.

Explanation:

Here, the given Δ CSD is a RIGHT ANGLED TRIANGLE.

Now, as we know in a right triangle, HYPOTENUSE IS THE LONGEST SIDE.

So, in Δ CSD SD is the longest side as SD = Hypotenuse.

Now, an altitude CF is drawn to hypotenuse SD.

⇒ CF ⊥ SD

⇒ Δ CFD is a RIGHT ANGLED TRIANGLE with ∠ F = 90°

and CD as a hypotenuse.

⇒ In Δ CFD , CD is the LONGEST side.

Hence, CD is the longest side in the given triangle CFD.