If the area of the triangle formed by the vertices z, iz, and z + iz i

1.	If the area of the triangle formed by the vertices z, iz, and z + iz is 50 square units, find the value of \|z\|.
Answer» The given vertices are z, iz, z + iz ⇒ z, iz are ⊥r to each other. Area of triangle = (1/2) bh = 50 ⇒ (1/2) \|z\| \|iz\| = 50 ⇒ (1/2) \|z\| \|z\| = 50 ⇒ \|z\|² = 100 ⇒ \|z\| = 10

If the area of the triangle formed by the vertices z, iz, and z + iz is 50 square units, find the value of |z|.

Answer»

The given vertices are z, iz, z + iz ⇒ z, iz are ⊥r to each other.

Area of triangle = (1/2) bh = 50

⇒ (1/2) |z| |iz| = 50

⇒ (1/2) |z| |z| = 50

⇒ |z|² = 100

⇒ |z| = 10