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:

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

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Following knowledge from mathematics are needed to solve this word math problem:

Pythagorean theorem is the base for the right triangle calculator. See also our trigonometric triangle calculator.

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