Math's 2 lesson 3 triangle practice set 3.3 full practice set

Math's 2 lesson 3 triangle practice set 3.3                   

                      Practice set 3.3

                                (Q1)
In ∆ABC seg AB= seg AC
                                     .....(GIVEN)
/_ABC = /_ACB   ...(ISOSCELES triangle theorem)

/_ACB=50   I.E X=50
/_CBD=60                                .....(GIVEN)
/_ABD=/_ABC+/_CBD
           .....(ANGLE ADDITION POSTULATE)
/_ABD=50+60
/_ABD=110

IN ∆CBD
SEG DB = SEG DC
 */_DCB = /_DBC.....( ISOSCELES triangle theorem)
/_DBC=60

*/_DCB=60 i.e. y=60
                    .....( ANGLE ADDITION POSTULATE)
*/_ACD=50+60
*/_ACD=110
X=50, Y=60, /_ABD=110 ,/_ACD=110


                          (Q2)

 of HYPOTENUSE of right angled triangle =15

* Length of median of its hypotenuse = 1/2 *15 = 7.5


Length of median of its hypotenuse is 7.5     Units.


                             (Q3)

In ∆PQR  /_ PQR=90.    ....(given)
By Pythagoras theorem
PR 2= PQ+QR
*PR2= 12  2square + 5 2square
*PR2= 114+25

*PR2=√169
*PR=13

*QS=1/2 PR                * QS=1/2 * 13
*QS=6.5



                          (Q4)

*PG/GT = 2/1                    * PG/2.5 = 2/1

*PG= 2*2.5


* PG=5
PT=PG+GT
* PT= 5+2.5
* PT=7.5

length of PG = 5 and PT = 7.5