answer the following:
1. Triangle PQR is an equilateral triangle with PM perpendicular to QR. prove that the area of triangle PQM=area of triangle PRM.
2. a solid right circular cone of radius 4cm and height 7cm is melted to form a sphere. find the radius of the sphere.

Asked by skbl2009 | 18th Jan, 2016, 10:39: PM

Expert Answer:

 
begin mathsize 14px style triangle P Q R space i s space a n space e q u i l a t e r a l space t r i a n g l e. space space space space space space space.... left parenthesis g i v e n right parenthesis rightwards double arrow P Q equals Q R equals P R space space space space space space.... left parenthesis 1 right parenthesis P M perpendicular Q R space space space space space space.... left parenthesis g i v e n right parenthesis rightwards double arrow angle P M R equals angle P M Q equals 90 degree space space space space space space.... left parenthesis 2 right parenthesis N o w comma space i n space triangle P M Q space a n d space triangle P M R P Q equals P R space space space space space.... left square bracket F r o m space left parenthesis 1 right parenthesis right square bracket angle P M R equals angle P M Q space space space space space space.... left square bracket F r o m space left parenthesis 2 right parenthesis right square bracket P M equals P M space space space space space.... left parenthesis c o m m o n space s i d e right parenthesis rightwards double arrow triangle P M Q space approximately equal to triangle P M R space space space space space.... left parenthesis R H S thin space c o n g r u e n c e right parenthesis S I n c e space t w o space t r i a n g l e s space a r e space c o n g r u e n t comma space t h e y space w i l l space h a v e space t h e space s a m e space a r e a. rightwards double arrow A open parentheses triangle P M Q close parentheses equals A open parentheses triangle P M R close parentheses end style
Please post one query at a time.

Answered by Rashmi Khot | 19th Jan, 2016, 09:36: AM