Question

[44]WritethePythagorastheoremandproveit.

[45]ProvethatTheratiooftheareasoftwosimilartrianglesisequaltothesquareoftheratiooftheir

correspondingsides.

[46]Drawalinesegmentoflength7.6cmanddivideitintheratio5:8.Writethestepsofconstruction.

[47]Drawacircleofradius6cm.Fromapoint10cmawayfromitscentre,constructthepairof

tangentstothecircleandmeasuretheirlengths.Writethestepsofconstruction.

[48]Atreebreaksduetostormandthebrokenpartbendssothatthetopofthetreetouchestheground

makinganangle30°withit.Thedistancebetweenthefootofthetreetothepointwherethetop

touchesthegroundis8m.Findtheheightofthetree.

[49]Avesselisintheformofahollowhemispheremountedbyahollowcylinder.Thediameterofthe

hemisphereis14cmandthetotalheightofthevesselis13cm.Findtheinnersurfaceareaofthe

vessel.

[50]Thefollowingdistributionshowsthedailypocketallowanceofchildrenofalocality.Themean

pocketallowanceisRs18.Findthemissingfrequencyf.

Dailypocket 11–13 13–15 15–17 17–19 19–21 21–23 23–25​

Answer 1

Pythagoras triplet= 3²+4²= 5²

proving = 3²+ 4²= 5²

9+16=25

25 = 25