ICSE Class 9 Answered

PQRS is a rhombus, find the value of a and b ?

Asked by nisha_vini29 | 10 Mar, 2016, 10:13: AM

Expert Answer

begin mathsize 12px style angle straight P equals 70 degree rightwards double arrow angle straight R equals 70 degree space left parenthesis opposite space angles space of space straight a space rhombus space are space equal right parenthesis RSQ space is space an space isosceles space triangle. space rightwards double arrow angle RSQ equals angle RQS equals straight b In space triangle space RSQ comma space angle RSQ equals angle RQS equals fraction numerator 180 degree minus angle SRQ over denominator 2 end fraction equals fraction numerator 180 degree minus 70 degree over denominator 2 end fraction equals fraction numerator 110 degree over denominator 2 end fraction equals 55 degree therefore angle RSQ equals angle RQS equals straight b equals 55 degree In space straight a space rhombus comma space diagonal space bisects space the space angle. therefore angle SRO equals angle QRO equals straight a equals fraction numerator angle straight R over denominator 2 end fraction equals fraction numerator 70 degree over denominator 2 end fraction equals 35 degree end style

Answered by satyajit samal | 10 Mar, 2016, 02:46: PM

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