If avb has a measure of 70 and is its angle bisector, what is the measure of avm?

1 answer:

4 0

the correct question is
If angle AVB has measure of 70 degrees and line VM is its angle bisector, what is the measure of angle AVM?

we know that
the angle bisector divide into two equal parts
so
The measure of angle AVM is 70/2 = 35 degree.

the answer is
35°

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Answer-

The coordinates of the orthocenter of △JKL is (-4, 8)

Solution-

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.

For a right angle triangle, the vertex at the right angle is the orthocentre of the triangle.

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

If the triangle JKL satisfies Pythagoras Theorem, then triangle JKL will be a right angle triangle.

Applying distance formula we get,

$JK^2= (-4+4)^2+ (8+1)^2=0+81=81\\\\KL^2= (-4-2)^2+ (8-8)^2=36+0=36\\\\JL^2= (-4-2)^2+(8+1)^2=36+81=117$