Question Number 10006 by RasheedSoomro last updated on 20/Jan/17

A triangle is divided into four triangles and three quadrilaterals by three straight line segments(for figure see comment below). ^• The sum of the perimeters of the three quadri- laterals is 25 cm. ^• The sum of the perimeters of the four triangles is 20 cm. ^• The perimeter of the whole triangle is 19 cm. ^• What is the sum of the lengths of the three straight line segments?

Commented byRasheedSoomro last updated on 20/Jan/17

Answered by mrW1 last updated on 21/Jan/17

Q=(sum of the perimeters of the three quadrilaterals) T=(sum of the perimeters of the four triangles) P=(perimeter of the whole triangle) S=(sum of the lengths of the three straight line segments) Q+T=P+2S S=((Q+T−P)/2)=((25+20−19)/2)=13 cm