Question

pls send me pic plz plz
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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

FIRST ANSWER

In △PQR,

PQ=17 units,PR=11 units,QR=?,PS=13 units

We know that Apollonius's theorem relates the length of a median of a triangle to the lengths of its side. It states that "the sum of the squares of any two sides of any triangle equals twice the square on half the third side, together with twice the square on the median bisecting the third side".

Specifically, in any △ABC, AD is a median, then

AB²+AC²=2(BD²+CD²)

Using Apollonius's theorem,

PQ²+PR²=2(PS²+SR²)

17²+11²=2(13²+SR²)

289+121=2(169+SR²)

410=2(169+SR²)

(169+SR²)=205

SR²=36

SR=6 cm

Since S is the midpoint of QR

QR=2×SR

QR=12

QR=12 cm.

SECOND ANSWER

In △ABC , point D is the midpoint of side AB

AD=BD=  1/2 AB=5

CA²+CB²=2DC²+2AD² (by Apollonius  theorem)

⇒7²+9²=2DC²+2(5²)

⇒49+81=2DC²+2(25)

⇒130=2DC²+50

⇒2DC²=80

⇒DC²=40

⇒DC=2√10

Hence, the length of the median drawn from point D to side AB is 2√10