Find the arla of on triangle whose
two equal sides are 12cm, 12 and
perimeter is 40 cm
Answers
Answer:
SOLUTION
Length of the equal sides = 12cm
Perimeter of the triangle = 30cm
Length of the third side = 30 - (12+12) cm = 6cm
Semi perimeter of the triangle(s) = 30/2 cm = 15cm
Using heron's formula,
Area of the triangle = √s (s-a) (s-b) (s-c)
= √15(15 - 12) (15 - 12) (15 - 6)cm2
= √15 × 3 × 3 × 9 cm2
= 9√15 cm2
Step-by-step explanation:
Let The Third Side Be xcm.
Now Perimeter = 12+12+x
24+x = 30
x = 6
Now Find The Area Using Herons Formula
Semiperimeter = 30/2 = 15
Sq Root(15(15-12)(15-12)(15-6) ) = Sq Root(15*3*3*9) = Sq Root(1215) = 34.85 cm^2
So Area is 34.85cm^2.
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