Heights in a Triangle
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3 Heights in a triangle
Think and answer!
$RIT$ is a triangle.
$E$ is the foot of the perpendicular drawn from $R$ to the opposite side $[TI]$.
$[RE]$ is called height in the triangle $RIT$.
$RE$ is the distance from $R$ to the line $(TI)$.
$1^{\circ}$ Draw the height $[IF]$ drawn from $I$ in the triangle $RIT$.
These two heights intersect at $H$.
$2^{\circ}$ Draw the height $[TG]$ drawn from $T$ in the triangle $RIT$.
Does this height pass through $H$? ..........................................................................
This question includes visual content: A triangle labeled RIT is shown with red sides corresponding to segments IT, TI, and IR. A blue line segment [RE] is drawn from vertex R to the opposite side TI, with E being the point on TI. A small square symbol at E indicates that the angle between RE and TI is 90 degrees.
Animated Video Solution
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Step by Step Written Solution
Hi Matjar., let's explore the properties of heights in a triangle using triangle R I T.
Heights in a Triangle
A height, or altitude, is a segment from a vertex perpendicular to the opposite side. We are given the first height, R E.
For the first task, we need to draw the height I F from vertex I to the opposite side R T.
The problem states that these two heights intersect at a point labeled H. Let's mark that intersection.
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