Question

the angle of a triangle ABC are towards - 5 x minus 3 and X find the value of x and hence find the angles of triangle ABC ​

Answer 1

Answer:

ANSWER

The given lines are as follows:

x+y=6

5x−3y+2=0

x+y−6

The given sides AB,BC and CA of a triangle ABC are :

5x−3y+2=0−−−−−−−−(1)

x−3y−2=0−−−−−−−−−−−(2)

x+y−6=0−−−−−−−−−−−−(3)

on solving (1) and (2), we get, x=2,y=4

Thus, AB and CA intersect at A(2,4)

Let AD be the altitude.

Hence, AD⊥BC

∴ slope of AD× slope of BC=−1

Here, slope of BC= 1/3

∴ slope of AD=−3

Hence, the equation of the altitude AD passing through A(2,4) and having slope −3 is y−4=−3(x−2) ⇒3x+y=10.

Hence, equation of the altitude through the center A is 3x+y=10