Mensuration Part 12

Problem 1: The area of the largest triangle that can be inscribed in a semicircle of radius 6m is?

Solution:

\frac{1}{2}\times b\times h=\frac{1}{2}\times 2r\times r

r^{2}=36m^{2}

Problem 2: The base and altitude of a right-angled triangle are 12cm and 16cm respectively the perpendicular distance of its hypotenuse from the opposite vertex is?

Solution:

\frac{1}{2}\times 12\times 16=\frac{1}{2}\times 20\times h

=9.6m^{2}

 

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