Question

Construct a right angled triangle whose hypotenuse measures 6.5 cm and one of its acute angle measures 60 degree

Answer 1

90+60+30=180..
the measurement of triangle is 180
hence one angle is60 degree

Answer 2

Construction of right angel triangle ABC.

Step-by-step explanation:

1. In right angle triangle$\Delta ABC$

  Let $\angle C =90^{\circ}$      ...1)

        $\angle B =60^{\circ}$      ...2)

2. Third angle

  $\angle A = 180-(\angle B+\angle C)$      

    $\angle A = 180-(60+90)$

   $\angle A =30^{\circ}$           ...3)

3. First make a line AB = 6.5 cm.

4. From point A make a line at angle 30°.

5. From point B make a line at angle 60°.

6. Both line from point A and B intersect at point. Mark this point is C.

7. This is required $\Delta ABC$ in which hypotenuse is AB and right angle at point C.