Question

If a Δhas orthocenter (1,1)and circumvented at (3/2,3/4)find the centroid and 9point center

Answer 1

here is ur required answer

Answer 2

Answer:

$given : \\ \\ o(1.1) \\ c( \frac{3}{2} . \frac{3}{4} )$

for centroid

using section formula

$x1 = \frac{2 \times \frac{3}{2} + 1 \times 1 }{3} \\ x1 = \frac{4}{3} \\ \\ y1 = \frac{2 \times \frac{3}{4} + 1 \times 1}{3} \\ y1 = \frac{ \frac{3}{2} + 1}{3} \\ y1 = \frac{5}{6}$

for nine point center

by section formula

$x2 = \frac{1 + \frac{3}{2} }{2} \\ x2 = \frac{5}{4} \\ \\ y2 = \frac{1 + \frac{3}{4} }{2} \\ y2 = \frac{7}{4}$

•°•

$\huge\mathfrak{centroid(4/3,5/6)}$

$\huge\mathfrak{9pointcenter(5/4,7/4)}$