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kondor19780726 [428]
3 years ago
12

PLs help

Mathematics
1 answer:
Pavel [41]3 years ago
5 0

A) The hypotenuse is the longest side of the triangle .In the figure EG is the hypotenuse.The given angle is <G=40 degrees.The side adjacent is FG= 10 units.

The question is asking us to find the trigonometry ratio which will  help us find EG.We can use cos  as cos is ratio of adjacent and hypotenuse.

cos 40=\frac{10}{Hypotenuse EG.}

B) Cos  40 =0.766.

Substituting tan40 value we have:

0.766=\frac{10}{EG}

EG=13.05.

C)Sum of angles in  triangle is 180.

<E+<F+<G=180

<E+90+40=180

<E+130=180

<E=50 degrees.

D) Tan  40=\frac{EF}{10}

EF=8.39

E) Area of triangle EFG= \frac{1}{2}x base x height.

A rea of the triangle = \frac{1}{2}x8.39x13.05

Area= 54.75 square units.





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Step-by-step explanation:

First, let's establish the following based on the information given:

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Since the perimeter is the total of all 3 sides, we are left with this equation:

(x) + (x + 3) + (2x + 4) = 31

From here, combine like-terms and solve for x.

(x) + (x + 3) + (2x + 4) = 31

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Now that we know the value of x, we can apply this to the predetermined formulas to find the measurements of the remaining two sides.

The shortest side = 6

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The hypotenuse (the longest side) = (2x + 4) = (2(6) + 4) = (12 + 4) = 16

To check, add all of the sides together to make sure they equal 31.

6 + 9 + 16 = 31

~Hope this Helps!~

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