Advertisements
Advertisements
प्रश्न
In the given figure, point G is the point of concurrence of the medians of Δ PQR. If GT = 2.5, find the lengths of PG and PT.
Advertisements
उत्तर
GT = 2.5 ...(Given)
The point of concurrence of medians of a triangle divides each median in the ratio 2 : 1.
∴ `"PG"/"GT" = 2/1`
∴ `"PG"/2.5 = 2/1`
∴ PG = 2 × 2.5
∴ PG = 5
Now, PT = PG + GT
= 5 + 2.5
∴ PT = 7.5 units
Hence, the length of PG and PT is 5 and 7.5 units respectively.
APPEARS IN
संबंधित प्रश्न
In the given figure, point S is any point on side QR of ΔPQR Prove that: PQ + QR + RP > 2PS
Draw an obtuse angled Δ STV. Draw its medians and show the centroid.
Draw an obtuse angled Δ LMN. Draw its altitudes and denote the orthocentre by ‘O’.
Draw an isosceles triangle. Draw all of its medians and altitudes. Write your observation about their points of concurrence.
The medians of a triangle cross each other at _______
The centroid of a triangle divides each medians in the ratio _______
The centroid, orthocentre, and incentre of a triangle are collinear
Identify the centroid of ∆PQR
In ∆DEF, DN, EO, FM are medians and point P is the centroid. Find the following
If DE = 44, then DM = ?
In ∆DEF, DN, EO, FM are medians and point P is the centroid. Find the following
If PD = 12, then PN = ?
In ∆DEF, DN, EO, FM are medians and point P is the centroid. Find the following
If OE = 36 then EP = ?
In ∆ABC, AD is the bisector of ∠A meeting BC at D, CF ⊥ AB and E is the mid-point of AC. Then median of the triangle is ______.
What is a median of a triangle?
The centroid divides each median in what ratio?
In a triangle, where is the centroid always located?
Which statement is true about medians?
