Question

find the answer pls find the answer
options
RT is a median of APQR.

RS is an altitude of APQR.

RS is a median of APQR.

RT is an altitude of APQR.​

Answer 1

Answer:

Ans. (c ) and (d) option

Step by Step Explanation:

RS is a median of triangle PQR as it is given in the question that RS = PQ .

RT is an altitude of triangle PQR as it is given in the que. that RT is perpendicular to PQ .

Answer 2

$\sf\huge\bold{Answer:}$

$\fbox{\rm option\:c)\:and\:d)\:are\:correct\:answers.}$

Given :

∆PQR

PS=QS

RT⊥PQ

To find :

Correct statement for median & altitude.

Solution :

• Median :

Median is a line segment that divides something namely a line segment, angle, triangle or any figure) into two equal parts.

• Altitude :

Altitude is a straight line drawn perpendicular to a line segment, a triangle or any figure. (i.e. a line segment that forms 90° angle).

_____________________________

Now, in figure it is given that PS=QS

Line segment RS here, acts as a median for line PQ, divides it into two equal parts.

• A median drawn to one side of a triangle divides the line as well as the triangle into two equal lengths & areas respectively.

Hence, RS is a median for ∆PQR.

Also, it is given that RT⊥PQ. It can be observed that RT forms 90° angle with line segment PQ.

→PQ is a side of ∆PQR.

• This, if the line segment is perpendicular to one side of triangle, it acts as an altitude of that triangle.

Hence,RT is an altitude of ∆PQR.

→ option ⓒ and ⓓ are correct answers.