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CBSE Class 9 Answered

the perimetre of an isosceles triangle measures 2 cm more than its height , and the base of the triangle measures 12 cm. find the area of the triangle...
Asked by eeshan.nk | 06 Aug, 2016, 04:08: PM
answered-by-expert Expert Answer
begin mathsize 12px style Area space of space increment ABC equals 1 half cross times base cross times height equals 1 half cross times 12 cross times straight h equals 6 straight h space cm squared OR space Perimeter space of space the space triangle equals 2 plus straight h rightwards double arrow 2 plus straight h equals straight x plus straight x plus 12 rightwards double arrow 2 plus straight h equals 2 straight x plus 12 rightwards double arrow straight h equals 2 straight x plus 10 BC equals 12 space cm rightwards double arrow BD equals 6 space cm.... left parenthesis Since space in space an space isosceles space triangle space the space altitude space on space the space base space is space also space the space median space of space the space triangle right parenthesis In space right space increment ADB comma straight x equals square root of straight h squared plus 6 squared end root Area space of space increment ABC equals 1 half cross times base cross times height equals 1 half cross times 12 cross times square root of straight h squared plus 6 squared end root rightwards double arrow Area space of space increment ABC equals 6 square root of straight h squared plus 6 squared end root space cm squared There space is space no space way space to space determine space the space value space of space straight h. It space seems space there space is space some space inadequate space information space in space the space question. end style
Answered by Rebecca Fernandes | 08 Aug, 2016, 12:16: PM

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