Question

To construct a triangle similar to triangle abc in which bc equal to 4.5 cm and angle b equal 45 degree and angle c = 60 degree, using a scale factor of 3 upon 7, bc will be divided in the ratio of a 3 ratio b 4 ratio, 3 ratio 7

Answer 1

Triangle of 4.5 cm & angle 45° & 60° is constructed & then (3/7) of Triangle is Constructed

Step-by-step explanation:

Step 1 : Draw  a line segment BC = 4.5 cm

Step 2 : Draw a line at angle 45° using protector at B

Step 3 : Draw a  line at angle 60° using protector at C , intersecting line drawn in step 2 at point A

ΔABC is constructed

now to get 3/7 of this Δ

Draw an acute angle at B on the opposite side where point A is

Take some Length and take consecutively ( one by one , 7 times) on line drawn

Join last 7th with C

Then take a parallel line to this starting from 3rd point and intersection BC at some point D

BD = (3/7)BC

now Draw angle 60° at D

and it intersect AB at E

(3/7) of Triangle is constructed

ΔBDE = (3/7) Δ BCA