Question

Orthocenter of triangle with vertices (0, 0), (3, 4) and (4, 0) is

• A. $\left( 3,\frac{5}{4} \right)$
• B. (3, 12)
• C. $\left( 3,\frac{3}{4} \right)$
• D. (3, 9)

Answer 1

Answer: (C)

$\left( 3,\frac{3}{4} \right)$

Answer 2

In DAEH

tan q = $\frac{K}{3}$ (1)

in DC EB

tan q = $\frac{1}{4}$ (2)

by (1) and (2)

\ $\frac{k}{3}$= $\frac{1}{4}$

\ K = $\frac{3}{4}$

\ orthocentre $\left( 3,\frac{3}{4} \right)$