Perimeter of Triangle 3C+√3C+√2C.
The correct option is (C).
What is the perimeter of the triangle?
Perimeter of a triangle = sum of all three sides
Also, the unit of a triangle's perimeter is the same as the units of the lengths of its sides. In case, the units of lengths of its sides are different, then first convert them into the same unit.
Given that:
RUT= RUS= 90°
and SUR= SRU=45
Let RU=C
So, SU=RU=C
and, RS= √2
Since, RUT= 60
then, UT= √3C and RT=2C
now, perimeter of △RST
=RS +RT+SU+UT
=√2C+2C+C+√3C
=3C+√3C+√2C
Hence, the perimeter of Triangle 3C+√3C+√2C.
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