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Alex73 [517]
3 years ago
12

What is a orthocenter in math in your own words?

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
8 0

Answer:

h

Step-by-step explanation:

Lyrx [107]3 years ago
6 0

Answer:

Step-by-step explanation:

Every Triangle has three altitudes. These are lines the go from an angle's point of the two lines meeting. The altitude goes from the the point of meeting to the side opposite. The altitude and the side opposite meet at right angles.

There are three such altitudes. They always have 1 point where they meet.

That meeting place is called the orthocenter.

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From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm find the radius of
Umnica [9.8K]

\large\bold{{Question :}}

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm find the radius of the circle.

\large\bold\red{\underline{Solution :-}}

Here, O is the center of the circle.

<u>⟼</u><u> </u><u>Given</u><u> </u><u>:</u>

  • OQ = 25 cm
  • PQ = 24 cm

<u>⟼</u><u> </u><u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u> </u> We have to find the radius OP.

Since QP is tangent, OP perpendicular to QP.

(Since, Tangent is Perpendicular to Radius ⠀⠀⠀⠀⠀⠀⠀at the point of contact)

So, ∠OPQ=90°

<u>⟼</u><u> </u><u>By</u><u> </u><u>Applying</u><u> </u><u>Pythagoras</u><u> </u><u>Theorem</u><u> </u><u>:</u>

OP² + RQ² = OQ²

OP² + (24)² = (25)²

OP² = 625 - 576

OP² = 49

OP = √49

<u>OP</u><u> </u><u>=</u><u> </u><u>7</u><u> </u><u>cm</u>

<u>Hence</u><u>,</u><u> </u><u>The</u><u> </u><u>Radius</u><u> </u><u>is</u><u> </u><u>7</u><u> </u><u>cm</u>

⠀⠀

⠀

<h3>-MissAbhi</h3>

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Look at the attachments and those are the answer.

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