4. Solve the following questions : (3 marks each) (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 to find the length of side PS? Find PS. (iii) find perimeter of PQRS.
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Answer:
REF.Image.
As diagonals of
rhombus are perpendicular
bisectors of each other,
⇒OA=6,OB=8, In △AOB by Pythagoras
theorem, AB
2 =6
2 +8
2
⇒AB=
100
=10cm
As all sides of rhombus are equal,
⇒AB=BC=CD=DA=10cm
Perimeter = 4×10=40cm
Step-by-step explanation:
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