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If the area of triangle with vertices (x,0);(1,1)&(0,-2) is 4 sq units then the value of x is....

Posted by ❤ ?§✝️⛎Đý ®️@Ňķëŕ ?❤ 5 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 8 months ago

area of ∆ABC is 4

x₁ = x
x₂ = 1
x₃ = 0

y₁ = 0
y₂ = 1
y₃= 2

• area of ∆ABC :-

{tex}= \frac{1}{2} ( x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)){/tex}

{tex}4 = \frac{1}{2} (x(1 - 2) + 1(2 - 0) + 0(0 - 1)){/tex}

8 = x - 2x + 2
8 - 2 = - x
6 = - x
x = - 6

So, the value of x is ( - 6 )

0Thank You

ANSWER

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