Question

construct a right angled triangle whose hypotenuse measure 5.6 and one of whose acute angles measure 30°.

Answer 1

HI HERE IS THE ANSWER .

we know that sum of angles of a triangle is 180°.

let us consider a right angled ∆ABC in which Angle A=90°, hypotenuse BC = 5.6 c.m and Angle B=90°

we know that the sum of angles of a triangle is 180 °
THEREFORE, Angle A+ Angle B+Angle C
=90°+30°+x=180
=120+x=180
x=180-120
x=60°

STEPS OF CONSTRUCTION OF TRIANGLE
1 draw line segment BC=5.6 c.m
2 construct angle CBX=30° and Angle BCY =60°
3 let BX and CY intersect at a point A. Then ,∆ABC is the required Triangle.

Answer 2

check out the attachment ..

HOPE IT HELPS ✌