Triangle with three vertices :
Here we are going to see some practice questions based on the topic area of triangle using three vertices.You can find solution for each questions of the worksheets with detailed explanation.
(1) Find the are of the triangle formed by the points.
(i) (0,0) (3,0) and (0,2)
(ii) (5,2) (3,-5) and (-5,-1)
(iii) (4,-5) (4,5) and (-1,-6)
(2) Vertices of the triangle taken in order and their areas are given below. In each of the following find the value of a.
(i) (0,0),(4,a) and (6,4) and its area is 17 sq.units
(ii) (a,a) , (4 , 5) and ( 6 , -1) and its area is 9 sq.units
(iii) (a,-3),(3,a) and (-1,5) and its area is 12 sq.units
(3) Determine if the following set of points are collinear or not.
(i) (4,3) (1,2) and (-2,1)
(ii) (-2,-2) (-6,-2) and (-2,2)
(iii) (-3/2,3) (6,-2) and (-3,4)
(4) In each of the following, find the value of k for which the given points are collinear.
(i) (k,-1) ( 2 ,1) and (4,5)
(ii) (2,-5) ( 3 ,-4) and (9,k)
(iii) (k,k) (2 ,3) and (4,-1)
(5) If the three points (h,0) (a,b) and (0,k) lie on a straight line, then using the area of the triangle formula show that (a/h) + (b/k) = 1,where h, k ≠ 0
(6) Find the area of the triangle formed by joining the midpoints of the sides of a triangle whose vertices are (0,-1) (2,1) and (0,3). Find the ratio of this area to the area of the given triangle.
After having gone through the stuff, we hope that the students would have understood "Triangle with three vertices"
Apart from the stuff given above, if you want to know more about "Triangle with three vertices", please click here
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
If you have any feedback about our math content, please mail us :
v4formath@gmail.com
We always appreciate your feedback.
You can also visit the following web pages on different stuff in math.
WORD PROBLEMS
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Trigonometry word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits