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Deffense [45]
3 years ago
10

Find the area of the given triangle. Round the answer to the nearest tenth.

Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
6 0

Answer:

B) Area of triangle =  149.4 square units.

Step-by-step explanation:

Given : A triangle with sides 16 , 19, 27 .

To find : Area of a triangle.

Solution : We have given that triangle with sides 16 , 19, 27 .

Using heron's formula :

Area of triangle:  \sqrt{s(s-a)(s-b)(s-c)}.

Where, s = \frac{a+b+c}{2} and a,b,c are sides of triangle.

Then s = \frac{16+19+27}{2}.

s = 31 units.

Area of triangle =  \sqrt{31(31-16)(31-19)(31-27)}.

Area of triangle =  \sqrt{31(15)(12)(4)}.

Area of triangle =  \sqrt{22320)}.

Area of triangle =  149.39 square units.

Area of triangle =  149.4 square units. ( nearest tenth)

Therefore, B) Area of triangle =  149.4 square units.

lions [1.4K]3 years ago
3 0
Using Heron's formula:
A = √(p(p-a)(p-b)(p-c)) where a,b,c are the sides of the triangle and p is half the perimeter.
The answer is B. 149.4 square units.
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Anonymous 3 years ago
amm1812
Two angles are said to be complementary, if the sum of the measures of the to angles is equal to 90 degrees.

Thus, given that HFG is complementary to ACB, them mHFG + mACB = 90 degrees.

From the figure, given that the line from point F meats line CE at point P, then HFG = CFP.
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Recall that mHFG + mACB = 90 degrees

Thus, mHFG + mACB = mHFG + mDFH

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