解析 Soution: cen troid AsG(g)t≤ 3 a+2g—=+3g+c)+(3+—4)+(5++C) 3 =(1+3+5)+(3+b+1)+(2-4+C) 3 by equary of vecters i3 a=(1+3+5)/3=9/3=3 ∴q=3 2=3+5+1 3 ∴6=4+6 6=2 ∴-1=(2-x+c)/3 -3=-2+C. ∴c=-1 ...
Now, let us learn the centroid formula by considering a triangle. ... Then, we can calculate the centroid of the triangle by taking the average of the x coordinates and the y coordinates of all the three vertices. So, the centroid formula can be mathematically expressed asG(x, y) = ((...
Let M be the midpoint of AB and N the midpoint of AC. Let A "M meet BG at X. Then X must be the midpoint of A"M (an expansion by a factor 2 center B takes A"M to CA and X to N ). Also BX/BN=1/2 and BG/BN=2/3, so XG=BX/3. Let the ray CX meet AB at...
If the centroid of the triangle formed by pointsP(a,b),Q(b,c)andR(c,a)is at the origin, what is the value ofa+b+c? View Solution If origin is the centroid of the triangle with vertices P(3a, 3, 6), Q (-4, 2b, -8) and R(8, 12, 2c), then ...
5.If the origin is the centroid of the trianglewhose vertices are A (2.p.-3), B(4,-2,5) andC(-5. 1.), then find the values of p q andr, View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium ...
The centroid of a triangle is the center of the triangle. It is referred to as the point of concurrency of medians of a triangle.Centroid FormulaThe centroid formula of a given triangle can be expressed as,C = (x1+x2+x33,y1+y2+y33)(x1+x2+x33,y1+y2+y33)where,...
The centroid is a point in the triangle that represents the intersection of the three medians. One of the centroid's properties is that it divides each median by the ratio of 2:1, which means that the longer side of the median is {eq}\dfrac{2}{3} {/eq...
结果1 题目 In right-angled △ABC, ∠A=90∘, AB=5 and AC=12. If G is the centroid of the triangle, find the distance between G and BC. 直角△ABC中,∠A=90∘,AB=5,AC=12,设G为形心,求G与BC之间的距离. 相关知识点: 试题来源: 解析 1713. 反馈 收藏 ...
A centroid divides the median from vertex to the midpoint of the opposite sides in the length ratio of 2:1 Answer and Explanation: Given triangle ABC, and centroid D is on the median line segment AM. Also, AD = x+4 and DM = 2x-4 Clearly, {eq...
Altitude of a triangle is basically the perpendicular line segment drawn from the vertex to the opposite side of the triangle. The altitude or height of a triangle may lie inside or outside the triangle. Learn with examples at BYJU’S.