of the triangle.
The base of an isosceles triangle is 12 cm and its perimeter is 32 cm. Find its area.
Answers
Side a = 12 cm
Side b = 12 cm (Two sides are equal in an isoceles triangle)
Side c = ?
Perimeter = 32 cm
Area = ?
Side c = Perimeter - (side a + side b)
= 32 - (12+12)
= 32 - 24
= 8
therefore side c = 8 cm
Area of isoceles triangle = 1/2 × base × height
= 1/2 × 24 × 8
= 96
Therefore, area of triangle = 96 cm
Hope it helps :)
Area Of Triangle = 48 cm²
Step-by-step explanation:
GIVEN
Base = 12 cm
Perimeter = 32 cm
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TO FIND
Area Of Triangle
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We know that,
Perimeter Of Triangle = a + b + c
We know that,
Given triangle is isosceles triangle
Therefore,
Perimeter Of Triangle = a + a + b
32 = 2a + 12
2a = 32 - 12
2a = 20
a = 20 / 2
a = 10
a = 10 cm
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Now,
Let's find area of triangle
We know that,
Area Of Triangle = ½ × Base × Height
To find area of triangle we have to find the height
To find the height
Let's divided the triangle in 2 equal parts
We know that,
Hypotenuse² = Base² + Height²
Here,
We have
Hypotenuse = 10 cm
Base = 12 / 2 = 6 cm
Height = ?
We know that,
Hypotenuse² = Base² + Height²
Height² = Hypotenuse² - Base²
Height² = 10² - 6²
Height² = 100 - 36
Height² = √64
Height = 8
Height = 8 cm
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Now,
Let's find area of triangle
We know that,
Area Of Triangle = ½ × Base × Height
Area Of Triangle = ½ × 12 × 8
Area Of Triangle = ½ × 96
Area Of Triangle = 48