find the area of triangle whose sides are 120 150 170
using herons formula
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Answer:
120 +150+170= 440
area = 440
Step-by-step explanation:
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Formula: Area = root of (s-a)(s-b)(s-c)
a = 120
b = 150
c = 170
s = a+b+c/2
s= 120+150+170/2
s = 440/2 = 220
Area = root of (s-a)(s-b)(s-c)
Area = root of (220-120)(220-150)(220-170)
Area = root of 100 * 70 * 50
Area = root of 10*10 * 7*10 * 5*10
Taking the pairs of tens out of the root,
Area = (10*10) root of 7*5
Area = 100 root of 35
If you’re ok with ur answer in root form, that’s great. You can just stop here. But if you need the decimal form...
⬇️
Root of 35 when done by long division is approximated to a value of 5.92
So 100*5.92 = 592
Therefore, your answer is 100 root of 35 units or 592 units (Remember, approximate value here!).
Hope this helps you!
a = 120
b = 150
c = 170
s = a+b+c/2
s= 120+150+170/2
s = 440/2 = 220
Area = root of (s-a)(s-b)(s-c)
Area = root of (220-120)(220-150)(220-170)
Area = root of 100 * 70 * 50
Area = root of 10*10 * 7*10 * 5*10
Taking the pairs of tens out of the root,
Area = (10*10) root of 7*5
Area = 100 root of 35
If you’re ok with ur answer in root form, that’s great. You can just stop here. But if you need the decimal form...
⬇️
Root of 35 when done by long division is approximated to a value of 5.92
So 100*5.92 = 592
Therefore, your answer is 100 root of 35 units or 592 units (Remember, approximate value here!).
Hope this helps you!
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