(1) The diagonals PR and SQ of rhombus PQRS are of length 12 cm and 16 cm respectively. If the diagonals intersect at point T, then (i) state the diagonal property of rhombus and find PT and ST. (ii) which theorem/property you would apply In the to find the length of side PS? Find PS. Comp (ii) find perimeter of PQRS. of x.
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Step-by-step explanation:
i) diagonals of rhombus bisector each other at 90°
so,
PT = 1/2×PR = 6cm
ST = 1/2×SQ = 8cm
ii) we will apply Pythagoras theorem to find PS
on applying PGT
you will get PS = 10cm
iii) perimeter = 4×side = 4×10 = 40cm
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