If the vertices of a triangle are (1, k), (4, -3), (-9, 7) and its area is 15 sq units, find the value(s) of k..                                                                                                                                                      [Ans: -3 ,21/13 ]

Ans:    A(1, k)             B(4, -3)            C(-9, 7)

Area of Δ ABC =1/2 [x₁(y₂ -y₁ )+x₂ (y₃ -y₁ ) + x₁ (y₁ -y₂ )]

= 1/2 [1(-3-7)+4(7-k)+(-9)(k+3)] = 15

-10 + 28 - 4k - 9k - 27 = 30

- 9 - 13k = 30            ⇒        k = -3

| -9 - 13k | = 30

9 + 13k = 30

k = 21/13

k = -3, 21/13

 

 

Posted Date: 4/10/2013 2:33:17 AM | Location : United States

Ask an Expert

Related Discussions:- Find the values of k, Assignment Help, Ask Question on Find the values of k, Get Answer, Expert's Help, Find the values of k Discussions

Write discussion on Find the values of k
Your posts are moderated

Write your message here..

Related Questions

Cardioids and limacons - polar coordinates, Cardioids and Limacons Thes... Cardioids and Limacons These can be split up into the following three cases. 1. Cardioids: r = a + a cos θ and r = a + a sin θ. These encompass a graph that is vaguel

Laplace transform, x ?8x ?16x ? 0, x?0? ? 0, x?0? ? 2 x ?8x ?16x ? 0, x?0? ? 0, x?0? ? 2

Combination, nc6:n-3c3=91:4 nc6:n-3c3=91:4

How to introduce a child to the symbol for zero, A 'woman was trying to tea... A 'woman was trying to teach her three-year-old child the numbers from 1to 5 from a children's book on numbers. Each number was illustrated by the same number of trees drawn next t

Algebra, GCD of "27ab,5xy" GCD of "27ab,5xy"

Rental car agency has 50 cars, Rental car agency has 50 cars. Rental rate i... Rental car agency has 50 cars. Rental rate in winter is 60%. What is probability that in give winter month the rental rate is fewer than 35 cars rented? Use normal distribution to

each player selects one of her two remaining chips , Consider the followin... Consider the following parlor game to be played between two players. Each player begins with three chips: one red, one white, and one blue. Each chip can be used only once. To beg

Money, how do you add 1,ooo and 100? how do you add 1,ooo and 100?

Number sequence, what is the formula to find a sequence on a string of numb... what is the formula to find a sequence on a string of numbers?

Houses having the floor , Suppose you are in the market for a new home and ... Suppose you are in the market for a new home and are interested in a new housing community under construction in a another city. a) The sales representative informs you that the