In the fig., If BC = 2.6 cm then find 2BD + BC/2
Answers
Answer:
If BC = 2.6 cm then find 2BD + BC/2 = 6.5cm
Step-by-step explanation:
Given,
BC = 2.6 cm
In Δ ACB and Δ ABD
AC = AD (Given)
∠A = ∠D (Given)
AB = AB (Common)
Δ ACB ≅ ΔABD ( By SAS congruence )
BC = BD ( by CPCT)
2BD + BC/2
2 × 2.6 + 2.6/2
= 5.2 + 1.3
= 6.5 cm
hence proved 2BD + BC/2 = 6.5 cm
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Answer:
Given,
BC = 2.6 cm
In Δ ACB and Δ ABD
AC = AD (Given)
∠A = ∠D (Given)
AB = AB (Common)
Δ ACB ≅ ΔABD ( By SAS congruence )
BC = BD ( by CPCT)
2BD + BC/2
2 × 2.6 + 2.6/2
= 5.2 + 1.3
= 6.5 cm
hence proved 2BD + BC/2 = 6.5 cm
Step-by-step explanation:
Given,
BC = 2.6 cm
In Δ ACB and Δ ABD
AC = AD (Given)
∠A = ∠D (Given)
AB = AB (Common)
Δ ACB ≅ ΔABD ( By SAS congruence )
BC = BD ( by CPCT)
2BD + BC/2
2 × 2.6 + 2.6/2
= 5.2 + 1.3
= 6.5 cm
hence proved 2BD + BC/2 = 6.5 cm.
The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangle. The centroid of the triangle separates the median in the ratio of 2: 1. It can be found by taking the average of x- coordinate points and y-coordinate points of all the vertices of the triangle.
Centroid Theorem
The centroid theorem states that the centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.
Centroid Theorem
Suppose PQR is a triangle having a centroid V. S, T and U are the midpoints of the sides of the triangle PQ, QR and PR, respectively. Hence as per the theorem;
QV = 2/3 QU, PV = 2/3 PT and RV = 2/3 RS
Centroid of A Right Angle Triangle
The centroid of a right angle triangle is the point of intersection of three medians, drawn from the vertices of the triangle to the midpoint of the opposite sides.
Centroid of a right triangle
Centroid of a Square
The point where the diagonals of the square intersect each other is the centroid of the square. As we all know, the square has all its sides equal. Hence it is easy to locate the centroid in it. See the below figure, where O is the centroid of the square.
Centroid of a square
Also, read:
Centroid Formula For Triangles
Centroid of a Trapezoid Formula
Orthocenter
Circumcenter of a Triangle
Properties of centroid
The properties of the centroid are as follows:
The centroid is the centre of the object.
It is the centre of gravity.
It should always lie inside the object.
It is the point of concurrency of the medians.
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