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Vanyuwa [196]
3 years ago
5

Help plz,BIG POINTS,also plz show me the steps as best as possible

Mathematics
1 answer:
Sidana [21]3 years ago
6 0

Answer:

The correct answer is option 3.

Step-by-step explanation:

Given : ΔPQR, QM is altitude of the triangle

PM  = 8

MR = 18

To find = QM

Solution :

PR = 8 + 18  = 26

Let, PQ = x  , QR = y, QM = z

Applying Pythagoras Theorem in ΔPQR

PQ^2+QR^2=PR^2

x^2+y^2=(26)^2..[1]

Applying Pythagoras Theorem in ΔPQM

PM^2+QM^2=PQ^2

8^2+z^2=(x)^2..[2]

Applying Pythagoras Theorem in ΔQMR

MR^2+QM^2=QR^2

18^2+z^2=(y)^2..[3]

Putting values of x^2 and y^2 from [2] and [3 in [1].

8^2+z^2+18^2+z^2=(26)^2

2z^2=(26)^2-(8)^2-(18)^2

2z^2=288

z^2=144

z = ±12

z = 12 = QM ( ignoring negative value)

The length of QM is 12.

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