Question

using ruler and compass only construct a triangle ABC from the following data a b + BC + CA = 12 cm angle B equal to 45 degree and Angle C is equal to 60 degree ​

Answer 1

<a =75°

Step-by-step explanation:

<c+<b+<a= 180°

45°+60°+<a=180°

<a= 180°-105°

<a=75°

Answer 2

Therefore $\bigtriangleup ABC$ the required triangle.

Step-by-step explanation:

Given;

Construct a $\bigtriangleup ABC$ from the following data $AB+BC+CA=12$ cm , $\angle B=45$ degree and $\angle C=60$ degree

Following Steps;

• Draw $DE$ of length $12$ cm.

• Construct $\angle EDP =\angle C = 60$ degree and $\angle DER =\angle B = 45$ degree using regular methods.

• Draw the angle bisectors of $\angle EDP$ and $\angle DER$ and mark their point of intersection as $A$.

• Draw the perpendicular bisectors of $AE$ and $AD$. They meet $DE$ at point $B$ and Point $C$ respectively.

• Draw $AB$ and $AC$ to get the required $\bigtriangleup ABC$.

So $\bigtriangleup ABC$ the required triangle.