Question

The figure below shows square ABCD inscribed on square PQRM on a coordinate plane. Which of the following expressions represents the perimeter of triangle BRC in units?

A.4
B.6
C.2√5
D.6 + 2√5

Answer 1

d...........................................................................

Answer 2

The hypotenuse of the triangle is given by:

`CB ^ 2 = RC ^ 2 + RB ^ 2`
Substituting values:

`CB ^ 2 = 2 ^ 2 + 4 ^ 2`
Clearing CB we have:

`CB = √( 2 ^ 2 + 4 ^ 2) CB = √( 4 + 16) CB = √(20) CB = √(4*5) CB = 2√(5)`
Then, the perimeter of the triangle is:

`P = RB + RC + CB`
Substituting values:

`P = 4 + 2 + 2 √(5) P = 6 + 2 √(5)`
Answer:
the perimeter of triangle BRC in units is:
D.6 + 2√5