Equilateral 2543

a) The perimeter of the equilateral triangle ABC is 63 cm. Calculate the side sizes of the triangle and its height.

b) A right isosceles triangle has an area of 40.5 square meters. How big is his circuit?

c) Calculate the square's area if the diagonal's size is 15 cm.

Correct answer:

a=b=c =  21 cm
h =  18.1865 cm
o =  30.7279 cm
S =  112.5 cm²

Step-by-step explanation:

$a=b=c=63/3=21\text{cm}$

Try calculation via our triangle calculator.

$h=\sqrt{3}/2\cdot (63/3)=18.1865\text{cm}$

$o=(2+\sqrt{2})\cdot \sqrt{2\cdot 40.5}=30.7279\text{cm}$

Try calculation via our triangle calculator.

$S=(15/\sqrt{2}{)}^2=112.5{\text{cm}}^2$

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