Find the area of a right angled triangle if the length of the hypotenuse is 6 cm and altitude drawn to the hypotenuse is 2 cm.
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Find the area of a right angled triangle if the length of the hypotenuse is 6 cm and altitude drawn to the hypotenuse is 2 cm.
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Answer:
In the case of a right triangle, the hypotenuse is a diameter of the circumcircle, and its center is exactly at the midpoint of the hypotenuse.
As radius of its circumcircle is 3 cm,
so AC( hyhypotenuse)=3*2=6cm.
BD=2cm
Area of triangle ABC=1/2* hyhypotenuse AC* BD
A=
2
1
∗6∗2=6
Area =6cm^2
Answer (B) 6cm
2