Construct a right-angled triangle having hypotenuse if length 6.5cm. and one of whose acute angle memeasures 30 degree
Answer :
We know right angle triangle have one angle is 90° , and one acute angle is given as 30° , So
Third angle = 180° - 90° - 30° = 60° ( From angle sum property of triangle )
Now we construct our triangle , As :
Step 1 ) Draw a line AB = 6.5 cm
Step 2 ) Now we take any radius and center A draw and arc that intersect our line AB at P , Now with same radius and center is " P " draw another arc that meet our arc at " Q " and now we draw another arc with center P and Q and these both arc meet at " R " Now we draw angle line AX , as it passing through point " R " ,
Step 3 ) Now we take any radius and center B draw and arc that intersect our line AB at S , Now with same radius and center is " S " draw another arc that meet our arc at " T " Now we draw angle line BY as it passing through point " T " ,
And Where line AX and line BY meet we name it point " C " .
So this is our required triangle ABC , As :
We know right angle triangle have one angle is 90° , and one acute angle is given as 30° , So
Third angle = 180° - 90° - 30° = 60° ( From angle sum property of triangle )
Now we construct our triangle , As :
Step 1 ) Draw a line AB = 6.5 cm
Step 2 ) Now we take any radius and center A draw and arc that intersect our line AB at P , Now with same radius and center is " P " draw another arc that meet our arc at " Q " and now we draw another arc with center P and Q and these both arc meet at " R " Now we draw angle line AX , as it passing through point " R " ,
Step 3 ) Now we take any radius and center B draw and arc that intersect our line AB at S , Now with same radius and center is " S " draw another arc that meet our arc at " T " Now we draw angle line BY as it passing through point " T " ,
And Where line AX and line BY meet we name it point " C " .
So this is our required triangle ABC , As :