Answer:
The length of the altitude PM is 3.5 cm.
Step-by-step explanation:
We are given that QT and PM are the altitudes of the triangle PQR. Also, QR = 8 cm, PR = 7 cm and QT = 4 cm.
We have to find the length of the altitude PM.
As we know that the area of the triangle is given by;
Area of triangle =
Here, in PQR; Base = PR = 7 cm
Height(Altitude) = QT = 4 cm
So, the area of the triangle PQR =
= 14 sq cm.
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Area =
Here, QR = Base of triangle PQR = 8 cm
PM = the required altitude
So, Area of triangle =
PM = = 3.5 cm
Hence, the length of the altitude PM is 3.5 cm.