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Anna11 [10]
3 years ago
11

Plz help..................

Mathematics
1 answer:
Damm [24]3 years ago
3 0
Just work from left to right identifying the points marked...

{(-3,-2), (-1,1), (1,0), (2,3), (4,-2)}
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What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?
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<u>Answer-</u>

<em>The coordinates of the orthocenter of △JKL is (-4, 8)</em>

<u>Solution-</u>

The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

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Here we are given the three vertices of the triangle are  J(-4,-1), K(-4,8) and L(2,8)

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Applying distance formula we get,

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As,

\Rightarrow 117=81+36

\Rightarrow JL^2=JK^2+KL^2

\Rightarrow \text{JKL is a right angle triangle}

\Rightarrow \angle K=90^{\circ}

Therefore, the vertex at K (-4, 8) is the orthocentre.

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