Question

In tri PQR, QT is an altitude. then find QT​

Answer 1

Answer:

QT is 8

Step-by-step explanation:

apply area theorem, 1/2×10×12=1/2×15×x

so x = 8.

Answer 2

Answer:

For triangle PQR,PS is an external altitude

•°• PS = Height= 10

and to altitude PS base is QR which is 12

•°• Area of triangle PQR with altitude PS will be =

$area = \frac{1}{2} \times altitude \times base \\ = \frac{1}{2} \times 10 \times 12 \\ = 5 \times 12 \\ = 60$

Now, With internal altitude QT and base PR area of triangle PQR will be same

Let QT be x

Now,

$area = 60 \\ \frac{1}{2} \times base \times height = 60 \\ \frac{1}{2} \times 15 \times x = 60 \\ \frac{15x}{2} = 60 \\ 15x = 120 \\ x = \frac{120}{15 } \\ x = 8$

•°• Value of QT will be 8

•°• option (2) is correct

Hope this helps you