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 | 6th Aug, 2016, 04:08: PM

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 | 8th Aug, 2016, 12:16: PM