Find the area of a Rhombus with diagonals 25 cm and 48cm.
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Step-by-step explanation:
given that: diagonal of rohmbus= 48cm, sides of rhombus are 25cm
Let ABCD is a rhombus , then it is divided into two triangles , triangle ABD and triangle BCD
then find the area of triangle ABD,
AB=25cm, BD=48cm, AD=25cm,
find semiperimeter of triangle ABD
semiperimeter=48+25+25÷2=98/2= 49cm
then,area of triangle ABD=root S(s-a)(s-b)(s-c)=root 49(49-48)(49-25)(49-25)=root 49(1)(24)(24)= 24 root 49=24 root7×7=24×7=168cm2.
area of rhombus = area of triangle ABD+area of triangle BCD=2×area of triangle ABD=2×168=336cm2.
Area of rhombus is= 336cm2
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