Question

A right angled triangle has a base of 40cm height of 30 cm and hypothenuse of 50cm. The triangle is rotated so that the hypothenuse forms the base find the altitude now

Answer 1

SOLUTION :

______________________________

GIVEN :

=> DIMENSIONS OF A RIGHT ANGLED TRIANGLE :

BASE :

=> 40 CM

HEIGHT :

=> 30 CM

HYPOTENUSE :

=> 50 CM

_____________________________

TO FIND :

=> IF IT IS ROTATED AS THE HYPOTENUSE WILL BE BASE THE HEIGHT OF THE TRIANGLE

______________________________

STEP 1

=> TO FIND THE AREA OF THE TRIANGLE

______________________________

AREA OF A RIGHT ANGLED TRIANGLE :

=> 1/2 * PRODUCT OF LENGTHS OF SIDES FORMING A RIGHT ANGLED TRIANGLE

=> 1/2 * 40 CM * 30 CM

=> 20 CM * 30 CM

=> 600 CM^2

______________________________

STEP 2 :

=> TRIANGLE IS JUST ROTATED NOT CHANGED

=> SO, AREAS OF BOTH THE TRIANGLES WILL BE SAME

=> BY KEEPING THE AREA SAME FIND ITS ALTITUDE

_______________________________

AREA OF THAT TRIANGLE NOW,

=> 1/2 * BASE * HEIGHT

=> 1/2 * 50 * HEIGHT

=> 25 CM * HEIGHT

_______________________________

BUT,

=> AREA = 600 CM^2

______________________________

FROM ALL THE INFO ,

=> 600 CM^2 = 25CM * HEIGHT

=> HEIGHT = 600 CM^2 / 25 CM

=> HEIGHT = 24 CM

______________________________

HOPE IT WILL HELP ......

THANKS ......

______________________________

Answer 2

Answer:

The answer is 24 cm.

I think it will help you