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Which of the following is larger in area?

A triangle with base 10 cm and height 8 cm
A triangle with sides 12 cm, 5 cm and 13 cm .
An equilateral triangle whose sides are 10 cm each
A right angled triangle whose sides containing the right angle are 3 cm and 4 cm
Explanation:

$a.Area=\frac{1}{2}bh$

$ =\frac{1}{2}\times10\times8$

$=40c m^{2}$

$b.Right angled tiangle=13^{2}=5^{2}+12^{2}$

$ =\frac{1}{2}\times5\times12$

$ =30cm^{2}$

$c.Equilateral triangle=\frac{\sqrt{3}}{4}\times10\times10$

$ =25\sqrt{3}$

$ =25\times1.732$

$=43.3cm^{2}$

$d.Right angled triangle= \frac{1}{2}\times3\times4$

$ =6ccm^{2}$

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