Construct the ∆ ABC such that BC = 6 cm , &ang; B = 45 ° and &ang; A = 75 ° .

Given that in △ A B C , B C = 6 cm , ∠ B = 45 ° , ∠ A = 75 ° . Here we need to construct a triangle by using ruler and compass. Now follow the steps to construct the triangle. 1) Draw a ray B R 2) Draw an arc of radius 6 cm with A as its centre such that it intersect B R at C . 3) Now construct ∠ C B P = 45 ° using the compass. 4) Similarly construct ∠ B C Q = 75 ° using compass such that the ray C Q intersect B P at A for the required triangle △ A B C . Hence, the required triangle is,

Construct a triangle PQR such that PQ = 6 . 3 cm , PR = 5 . 6 cm and &ang; P = 48 ° .

Given , P Q = 6 . 3 cm , P R = 5 . 6 cm and ∠ P = 48 ° Steps 1 ] Draw the ray P X 2 ] Draw an arc of an radius 6 . 3 cm ( = P Q ) at center P to intersect P X at point Q 3 ] Make the angle ∠ Q P Y = 48 ° by using the protractor . 4 ] Draw an arc of an radius 5 . 6 cm with P a s its centre such that it intersect P Y at the point R 5 ] Join the line R Q for the required triangle .