In the diagram above, PQRS is a rhombus. /PR/ = 10cm and /QS...
In the diagram above, PQRS is a rhombus. /PR/ = 10cm and /QS/ = 24cm. Calculate the perimeter of the rhombus.
A.
34cm
B.
52cm
C.
56cm
D.
96cm
Correct answer is B
For a rhombus, all the sides are equal and diagonals bisect each other at 90o. Hence, the triangles formed are congruent: (under RHS).
Thus: ¯PS2 = 52 + 122
¯PS=√25+144
= √169
¯PS = 13cm
perimeter = 4 x length of a side
= 4 x 13cm
= 52cm
Similar Questions
Find the equation of a line which is form origin and passes through the point (−3, −4) ...
In the diagram |PS| is a diameter of circle PQRS. |PQ| = |QR| and ∠RSP = 74o. Find ∠QPS...
Find the value of x for which the function 3x3 - 9x2 is minimum...
A tap leaks at the rate of 2cm3 per seconds. How long will it take the tap to fill a container ...
What is the value of 3 in the number 42.7531?...
If 1+√21−√2 is expressed in the form of x+y√2 find the values of ...