The perimeter of a triangle is 32cm.Two sides of the triangle measure 10cm and 12cm.What is the area of the triangle
Answers
Answer:
60 cm sq.
Explanation:
Perimeter = 32cm
Side 1 = 10 cm
Side 2 = 12cm
Then, Side 3 = perimeter - ( side 1 + side 2)
= 32 - ( 10 + 12 )
= 10 cm
Area of triangle = 1/2*base*height
=1/2*10*12
=60 cm^2
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Answer: 60cm²
Solution:
Given,
Two sides of a Triangle = 10cm and 12cm
Let the third side be 'x'
Perimeter of the triangle = 32cm
We know that,
Perimeter of a Triangle = Sum of all sides.
32 = 10 + 12 + x
32 = 22 + x
x = 10cm
Thus, the other side is 10cm the triangle is isoceles.
We know that,
Area of an isoceles traingle = 1/2 × base × height
= 1/2 × 10 × 12
= 1/2 × 120
= 60cm²
Therefore, the area of triangle is 60cm².