In the diagram above, PQRS is a rhombus. /PR/ = 10cm and /QS/ = 24cm. Calculate the perimeter of the rhombus.
34cm
52cm
56cm
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: \(\bar{PS}^2\) = 52 + 122
\(\bar{PS} = \sqrt{25 + 144}\)
= \(\sqrt{169}\)
\(\bar{PS}\) = 13cm
perimeter = 4 x length of a side
= 4 x 13cm
= 52cm
Similar Questions
If x km/h = y m/s, then y =...
At what value of x is the function y = x2 - 2x - 3 minimum?...
Evaluate \((111_{two})^2 - (101_{two})^2\)...
Simplify \(\left(\frac{3}{4} - \frac{1}{3}\right)\times 4\frac{1}{3}\div 3\frac{1}{4}\)...
P, R and S lie on a circle center as shown above while Q lies outside the circle. Find ∠PSO ...
If x : y = 3 : 2 and y : z = 5 : 4, find the value of x in the ratio x : y : z ...
If the simple interest on a sum of money invested at 3% per annum for 2\(\frac{1}{2}\) ye...