draw a triangle ABC with bc=7cm B =45degree, C=60degree then construct another triangle whose sides 2 half times of the corresponding
Answers
Step-by-step explanation:
In order to construct △ABC, we follow the following steps :
STEP I Draw BC=7 cm.
STEP II At B construct ∠CBX=45
o
and at C construct
∠BCY=180
o
−(45
o
−105
o
)=30
o
Suppose BX and CY intersect at A.△ABC so obtained is the given triangle.
To construct a triangle similar to △ABC, we follow the following steps.
STEP I Construct an acute angle ∠CBZ at B on opposite side of vertex A of △ABC.
STEP II Mark-off four (greater 4 of and 3 in
3
4
) points B
1
,B
2
,B
3
,B
4
on BZ such that
BB
1
=B
1
B
2
=B
2
B
3
=B
3
B
4
.
STEP III Join B
3
(the third point) to C and draw a line through B
4
C parallel to B
3
C, intersecting the extended line segment BC at C.
STEP IV Draw a line through C parallel to CA intersecting the extended line segment BA at A.
Triangle ABC so obtained is the required triangle such that
AB
AB
=
BC
BC
=
AC
AC
=
3
4