Question

Construct a right angled triangle in whuch the length of hypotenuse is 5.6cm and one of its acuye angke is 30°.

Answer 1

hypotenuse  = 5.6 cm

other 2 sides

base :

cos 30^0 = adjacent / hypotenuse

√3 / 2  =  base / 5.6

( √3 / 2 ) x 5.6  = base

  base = 1.732 x 2.8

            =  4.8496

             ≈  4.8 cm

height  :

sin 30^0  =   opposite side / hypotenuse

 1 / 2   =  height  / 5.6

  height  =  ( 1 / 2 )  x 5.6

   height  =  2.8

construction :

  1)  draw base  AB = 4.8 cm

  2)  construct 90^o  at  A

   3)  from A draw an arc of radius  2.8 cm

  4 )  from B  draw an arc of  5.6 cm

   5 ) mark the intersecting point as C

    join C, B

    6) Δ ABC is required Δ