the sides of a triangle are 70cm , 108 cm and 122cm the length of its longest altitude is
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Answer:
61.6
Step-by-step explanation:
Semiperimeter is equal to
a+b+c÷2= 70+108+122÷2
300÷2=150
the heron formula is equal to
√s(s-a)(s-b)(s-c)
√150(150-70)(150-180)(150-122)
√150*80*40*28
√14,112,000=
3,756.60
Now we got the area of triangle.
Since, the area of triangle is equal to 1/2* b*h
hence, 3756.6=1/2* 122 * h
3756.6 * 61* h
h= 3756.6/61 = 61.6.
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