2-q24

[stubbornp]

24. If the area of triangular region RST is 25, what is the perimeter of RST?
(1) The length of one side of RST is 5 sqrt(2).
(2) RST is a right isosceles triangle.

[parallel_chase]

24. If the area of triangular region RST is 25, what is the perimeter of RST?
(1) The length of one side of RST is .
(2) RST is a right isosceles triangle.

This question can be answered correctly only if you post the statement I's missing value.

[raju232007]

statement 1:

Length of one side is 5 sqrt(2)
No information about the other sides,,,

Insufficient

statement 2:

RST is a right isosceles triangle
so RS=ST
Area=0.5*RS*ST
25 =0.5*RS^2
50=RS^2

RS=5sqrt(2)
ST=5sqrt(2)

RT^2=ST^2+RS^2
RT^2=(5*sqrt(2))^2+(5*sqrt(2))^2
RT^2=100
RT=10

Perimeter=RS+ST+RT
=5sqrt(2)+5sqrt(2)+10
=10+10sqrt(2)

Hence statement 2 is alone sufficient and the ans should be B

What is the OA?

[ket_gmat]

Its should be B

[stubbornp]

oa B...