The centroid of the triangle whose vertices are $(4, - 8), (- 9, 7)$ and $(8, 13)$ is

(1, 4)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(1, 3)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(1, 5)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(1, 9)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $(1, 4)$
Let the $Δ A B C$ with vertices $A = (x_{1}, y_{1}) = (4, - 8), B = (x_{2}, y_{2}) = (- 9, 7)$
and $C = (x_{3}, y_{3}) = (8, 13)$
$∴$ its centroid $G = (\frac{x_{1} + x_{2} + x_{3}}{3}, \frac{y_{1} + y_{2} + y_{3}}{3}) = (\frac{4 - 9 + 8}{3}, \frac{- 8 + 7 + 13}{3})$
$∴ G = (1, 4)$

Suggest Corrections

Similar questions

If the centroid of a triangle is (1, 4) and two of its vertices are (4, -3) and (-9, 7), then the area of the triangle is

ABC is a triangle whose vertices are (1, 3), (–2, –1) and (4, 0) respectively. G is its centroid and BGCH is a parallelogram. Find the coordinates of the vertex H.

Q. If two vertices of a triangle are

(3, 7)

and

(- 1, 5)

and its centroid is

(1, 3)

. Find the coordinates of the third vertex.

Q. If the centroid of a triangle is (1, 4) and two of its vertices are (4, −3) and (−9, 7), then the area of the triangle is

(a) 183 sq. units

(b)

\frac{183}{2}

sq. units

(c) 366 sq. units

(d)

\frac{183}{4}

sq. units

Join BYJU'S Learning Program

The centroid of the triangle whose vertices are (4,−8),(−9,7) and (8,13) is

The correct option is D (1,4)Let the ΔABC with vertices A=(x1,y1)=(4,−8),B=(x2,y2)=(−9,7) and C=(x3,y3)=(8,13)∴ its centroid G=(x1+x2+x33,y1+y2+y33)=(4−9+83,−8+7+133) ∴G=(1,4)

The centroid of the triangle whose vertices are $(4, - 8), (- 9, 7)$ and $(8, 13)$ is