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enot [183]
2 years ago
5

Which theorem shows that ABC = DEF?*

Mathematics
1 answer:
netineya [11]2 years ago
3 0

Answer:

<h2><em><u>SAS</u></em><em><u> </u></em><em><u>Congruence</u></em><em><u> </u></em><em><u>Theorem</u></em><em><u> </u></em></h2>

Step-by-step explanation:

In ABC. In DEF

AB. = DE. <em>(</em><em>Given</em><em> </em><em>side</em><em>)</em>

<BAC. = <EDF. <em>(</em><em>Given</em><em> </em><em>side</em><em>)</em>

BC. = EF. <em>(</em><em>Given</em><em> </em><em>side</em><em>)</em>

<em><u>Hence</u></em><em><u>,</u></em>

Triangle ABC is congruent to Triangle DEF by<em><u> </u></em><em><u>SAS</u></em><em><u> </u></em><em><u>Congruence</u></em><em><u> </u></em><em><u>Theorem</u></em><em><u>. </u></em>

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Step-by-step explanation:

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Given: Triangle ABC, mmBC=24 cm, line segment AL- &lt; bisector
Furkat [3]

The value of line AL is 21. 51cm

<h3>How to determine the length</h3>

To find line AL,

Using

Sin α = opposite/ hypotenuse to find line AB

Sin 90 = x/ 24

1 = x/24

Cross multiply

x = 24cm

Now, let's find line AC

Sin angle B = line AC/24

Note that to find angle B

angle A + angle B + angle C = 180

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x + 2x + 90 = 180

3x + 90 = 180

3x = 180-90

x = 30°

Angle B = 2 × 30 = 60°

Sin 60 = x/ 24

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Cross multiply

x = 24 × 0. 8660

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We have the angle of A  in the given triangle to be divide into two by the bisector, angle A = 15°

To find line AL, we use

Cos = adjacent/ line AL

Cos 15 = 20. 78/ line AL

Line AL = 20. 78/ cos 15

Line AL = 20. 78 / 0. 9659

Line AL = 21. 51 cm

Thus, the value of line AL is 21. 51cm

Learn more about trigonometry ratio here:

brainly.com/question/24349828

#SPJ1

6 0
1 year ago
Im slow soooooooooooooo i need help
Yuliya22 [10]
You is not slow just read it and you will get it
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2 years ago
What is the answer? ill give brainliest
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Answer:

2.

Step-by-step explanation:

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