Question

Construct a right angled triangle having hypotenuse of length 5.4cm and one of the acute angles of measures 60°​

Answer 1

Answer:

Steps of construction :

First of all make a rough diagram as a reference and mark hypotenuse as 5.4 and one angle measure 30°.

Now ,

1 ) Draw a line with the help of ruler /scale of 5.4 cm.

2) Place the point of compass at C and make a arc or semi-circle.

3) Place the compass at point Q and mark an arc P` (by measuring it protector it's equal to 60°)

*Note compass distance always remain same

4) Now take compass on point Q and make a arc then from P` measure it with protractor it's become 30°.

The second acute angle

Angle sum property of triangle

5) From the point C make a straight line passing through point Q`.

6) Now place the compass at point A and make a arc from point X from same distance of compass mark an point Y` from X angle make a straight line passing through it from point A.

7) Measure the sides if required and verify it by using Pythagoras Equation.

Step-by-step explanation: