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  h2=a2−(b/2)2 h=1422−(190/2)2 h=105.541  S=bh2=190⋅105.5412 S=10026.4 m2474 = 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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Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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