Triangle qrs with vertices q(6, -2), r(4, -7), and s(2, -5), is drawn inside a rectangle, as shown below. what is the area, in square units, of the triangle qrs? a- 7 b-10 c-13 d-18

7 sq.units.

Step-by-step explanation:

Q=(6, -2)

R=(4, -7)

S=(2, -5)

Now find the sides of triangle QR,RS,QS

To find QR use distance formula :

Substitute the values in the formula :

To Find RS

Substitute the values in the formula :

To Find QS

Substitute the values in the formula :

So, sides of triangle :

a =5.38516480713

b=2.82842712475

c=5

Now to find area:

Where  

a,b,c are the side lengths of triangle  

Now substitute the values :  

Hence the area of the given triangle is 7 sq. units.  

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign