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krek1111 [17]
3 years ago
11

Find the area of quadrilateral...

Mathematics
1 answer:
sergeinik [125]3 years ago
4 0

Answer:

Total area = 29.8 sq. units

Step-by-step explanation:

<u>area of each triangle =  sqrt(s * (s-a) * (s-b) * (s-c))</u>

to get the value of s, use the <u>semi-perimeter = s = perimeter / 2</u>

<u>Total area = area of triangle ABD + area of triangle ACD</u>

semi-perimeter of ABD = (3.48 + 8.66 + 8.6) / 2 = 10.37

semi-perimeter of ABD = (3.54 + 8.84 + 8.6) / 2 = 10.49

area of triangle ABD = sqrt(10.37 * (10.37-3.48) * (10.37-8.66) * (10.37-8.6))

area of triangle ABD = 14.7 sq. units

area of triangle ACD = sqrt(10.49 * (10.49-3.54) * (10.49-8.84) * (10.49-8.6))

area of triangle ACD = 15.08

Total area = 14.7 + 15.1

Total area = 29.8 sq. units

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