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What is the perimeter and base angles of an isosceles triangle whose base is 9.96 cm with an area of 33.0672 square cm showing work and answers?
Wiki User
∙ 9y ago
Area: 0.5*9.96*height = 33.0672 sq cm
Height: (33.0672*2)/9.96 = 6.64 cm
An isosceles triangle is in effect two right angle triangles joined together at its line of symmetry and in this case have bases of 9.96/2 = 4.98
So using Pythagoras: 6.64 squared+4.98 squared = 68.89
Square root of 68.89 = 8.3 which is its hypotenuse
Perimeter therefore is: 8.3+8.3+9.96 = 26.56 cm
Base angles: tangent^-1(6.64/4.98) = 53 degrees to nearest degree
Wiki User
∙ 9y ago
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