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2 years ago

Solve for the missing side of the triangle.

Mathematics

1 answer:

SVEN [57.7K]2 years ago

8 0

Answer:

19.209372712298546 (C)

Step-by-step explanation:

For this you use pythagorean theorem. a squared + b squared = c squared which is your missing side. 15 squared is 225 and 12 squared is 144 so together thats 369. Now we know c squared is 369 so we find the square root of that and boom. So your answer is C (19.2)

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Please help?

Mazyrski [523]

Answer:

$23\sqrt{3}\ un^2$

Step-by-step explanation:

Connect points I and K, K and M, M and I.

1. Find the area of triangles IJK, KLM and MNI:

$A_{\triangle IJK}=\dfrac{1}{2}\cdot IJ\cdot JK\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 2\cdot 3\cdot \dfrac{\sqrt{3}}{2}=\dfrac{3\sqrt{3}}{2}\ un^2\\ \\ \\A_{\triangle KLM}=\dfrac{1}{2}\cdot KL\cdot LM\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 8\cdot 2\cdot \dfrac{\sqrt{3}}{2}=4\sqrt{3}\ un^2\\ \\ \\A_{\triangle MNI}=\dfrac{1}{2}\cdot MN\cdot NI\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 3\cdot 8\cdot \dfrac{\sqrt{3}}{2}=6\sqrt{3}\ un^2\\ \\ \\$

2. Note that

$A_{\triangle IJK}=A_{\triangle IAK}=\dfrac{3\sqrt{3}}{2}\ un^2 \\ \\ \\A_{\triangle KLM}=A_{\triangle KAM}=4\sqrt{3}\ un^2 \\ \\ \\A_{\triangle MNI}=A_{\triangle MAI}=6\sqrt{3}\ un^2$

3. The area of hexagon IJKLMN is the sum of the area of all triangles:

$A_{IJKLMN}=2\cdot \left(\dfrac{3\sqrt{3}}{2}+4\sqrt{3}+6\sqrt{3}\right)=23\sqrt{3}\ un^2$

Another way to solve is to find the area of triangle KIM be Heorn's fomula, where all sides KI, KM and IM can be calculated using cosine theorem.

7 0

2 years ago

Which of the following are integers? 13 14 -16 147 1000000 -3 -0.35

nikklg [1K]

Answer:

13 integer

14 integer

-16 integer

147 integer

100000 integer

-3 integer

-0.35 not integer

Explanation:

The integers are all negative or positive whole numbers

7 0

2 years ago

Read 2 more answers

Help me please !!! Determine the measure

Crank

Answer:

Step-by-step explanation:

3 0

1 year ago

Sean wants to have an investment worth $15,000 in ten years. How much money should he invest today if the annual interest rate o

N76 [4]

Answer:

#30,000

Step-by-step explanation:

Intrest=15,000

Time=10yrs

Percent=5.0%

Rate=?

R=I*100/PT

R=15,000*100/5.0*10

R= 1500000/50

R=30,000

8 0

2 years ago

julsineya [31]

Answer:

X=5.086

Step-by-step explanation:

432.34 on the number line, converted to negotiable /85 decimal places, divided by the sum of 432.34/85:

X=5.086

Edit: Gime branlies

3 0

2 years ago