# Isosceles triangle

Calculate area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm.

Result

S =  17.057 cm2
o =  19 cm

#### Solution:

$a=6 \ \\ c=7 \ \\ h=\sqrt{ a^2-(c/2)^2 }=\sqrt{ 6^2-(7/2)^2 } \doteq 4.8734 \ \\ S=c \cdot \ h/2=7 \cdot \ 4.8734/2 \doteq 17.0569 \doteq 17.057 \ \text{cm}^2$
$o=2a+c=2 \cdot \ 6+7=19 \ \text{cm}$

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