The side of a triangle are 42cm 34 cm 20 cm calculate it's area and length of the height on the longest side
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Hello,
we use the formula of Heron:
A=√p×(p-a)×(p-b)×(p-c)
where:
p is the semiperimeter of the triangle, and a,b c are the sides.
we calculate the semiperimeter of the triangle:
p=(a+b+c):2=(42+34+20):2=96:2=48 cm
we calculate the area:
A=√48×(48-42)×(48-34)×(48-20);
=√48×6×14×28=√112896=336 cm²
The area of the triangle is 336 cm².
The logest sid is a=42 cm.
we calculate the height we have to use the formula:
h=2A:a=(2×336):42=672:42=16 cm
The height on the longest side is h=16 cm
bye :-)
we use the formula of Heron:
A=√p×(p-a)×(p-b)×(p-c)
where:
p is the semiperimeter of the triangle, and a,b c are the sides.
we calculate the semiperimeter of the triangle:
p=(a+b+c):2=(42+34+20):2=96:2=48 cm
we calculate the area:
A=√48×(48-42)×(48-34)×(48-20);
=√48×6×14×28=√112896=336 cm²
The area of the triangle is 336 cm².
The logest sid is a=42 cm.
we calculate the height we have to use the formula:
h=2A:a=(2×336):42=672:42=16 cm
The height on the longest side is h=16 cm
bye :-)
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