Math, asked by singhkanishka941, 10 months ago

find the coordinates of the triangle formed by two straight lines and x axis. also find the area of the triangle. 4x-5y+16=0,2x+y-6=0​

Answers

Answered by Anonymous
4

Answer:

Step-by-step explanation:

4x - 5*0 + 16 = 0 ===> x = - 4 ===> A(- 4, 0)

2x + 0 - 6 = 0 ===> x = 3 ===> B(3, 0)

4x - 5(- 2x + 6) + 16 = 0

4x + 10x - 30 + 16 = 0

14x = 14 ===> x = 1

2*1 + y - 6 = 0 ===> y = 4

C(1, 4)

AB = | - 4 - 3 | = 7 units

h = 4 units

Area of triangle is (7*4) / 2 = 14 units²

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