# ISO Triangle V2

Perimeter of RR triangle (isosceles) is 474 m and the base is 48 m longer than the arms. Calculate the area of this triangle.

Correct result:

S =  10026.4 m2

#### Solution:

$474 = 2a+b \ \\ b = a+48 \ \\ \ \\ 474 = 3a + 48 \ \\ a = 142 \ \\ b = a + 48 = 190 \ \\ \ \\ h^2 = a^2 - (b/2)^2 \ \\ h = \sqrt{ 142^2 - (190/2)^2 } \ \\ h = 105.541 \ \\ \ \\ S = \dfrac{ bh}{2} = \dfrac{ 190 \cdot 105.541}{2} \ \\ S = 10026.4 \ \text{m}^2$

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