Question

Construct a triangle in which angle B=45 degree angle C= 60 degree and the perpendicular from the vertex A to the base BC is 4.5 cm

Answer 1

Answer:

Step-by-step explanation:

It is given that,

Triangle ABC, angle B=45

angle C= 60 and

the perpendicular from the vertex A to the base BC is 4.5 cm

Trigonometric ratios

1).  If the angles of a triangle are in the ratio 30 : 60 : 90 then,

the sides are in the ratio 1 : r3 : 2

2). If the angles of a triangle are in the ratio 45 : 45: 90 then,

the sides are in the ratio 1 : 1 : r2

Drawing triangle

Step 1: Draw a segment BD = 4.5cm

Step 2: Draw a line from BX making an angle of 45 degree

Step 3: Draw a perpendicular from D, Mark the point of intersection

            of BX and perpendicular from D as A

Step 4:  Draw a perpendicular DY from D

Step 5:  Draw a line from AD making an angle of 30 degree.Mark the point of intersection

            of line and perpendicular DY as C

The resulting triangle ABC angle B=45

angle C= 60 and

the perpendicular from the vertex A to the base BC is 4.5 cm

Answer 2

Answer:

Hope its help you have a nice day