Math, asked by pendayaladhanalaxhmi, 13 days ago

can I get the solution of this problem ​

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Answered by hemlatasantosh8584
0

Answer:

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The orthocenter of the triangle formed by (0,0),(8,0),(4,6) is

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Solution

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Correct option is A)

Let ABC be the given triangie and the vertices be A(0,0),B(8,0) and C(4,6).

∵ Slope of BC=

(4−8)

(6−0)

=−

2

3

.

∴ Equation of line through A and ⊥ to BC is

y−0=(

3

2

)(x−0)⇒2x−3y=0 ...(1)

And slope of CA=

(4−0)

(6−0)

=

2

3

∴ Equation of line through B and ⊥ to CA is

y−0=(−

3

2

)(x−8)⇒2x+3y=16 ...(2)

Solving (1) and (2), the orthocentre is (4,

3

8

).

Answered by shch4747
0

Answer:

9

Step-by-step explanation:

Orthocentre = (x1 + x2 + x3)/3, (y1 + y2 + y3)/3

                     = 10/3, 8/3

=> h = 10/3

    k = 8/3

3(h + k)/2

= 3(10 + 8)/3 x 1/2

= 18/2

= 9

Hope it helps :)

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