Question

The sides of triangular plate are $8cm,15cm$ and $17cm$. if its weight is $96$ gram, find the weight of the plate per square cm.

• A. $1.6gm$
• B. $0.8gm$
• C. $1.4gm$
• D. $2gm$

Answer 1

The correct option is A $1.6gm$

Since, ${17}^2=8^2+{15}^2$, the triangle is a right angled triangle with sides $8cm$ and $15cm$ around the right angle.
Area of triangle $=\frac{1}{2}\times base\times height=\frac{1}{2}\times 8\times 15=60$ sq cm
Weight of triangle plate $=96gram$
Weight per square cm $=\frac{96}{60}=1.6gm$