3 years ago

Solve a right triangle, find all angles and sides.

Mathematics

2 answers:

Bas_tet [7]3 years ago

7 0

Answer:

abc18

Step-by-step explanation:

Amanda [17]3 years ago

6 0

Answer:3.5

Step-by-step explanation:

but yay

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Stiind ca triunghiurile sunt asemenea si c= 5 calculati lungimea laturilor indicate

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Answer:

$a=8\\b=10\\c=5$

Step-by-step explanation:

In the given image, you can observe we have two right triangles.

Also, we know by given that those triangles are similar, which means their sides are proportional and their angles are congruent.

If the triangles are similar, we can define the following proportion between sides.

$\frac{4}{a} =\frac{3}{6}\\ 24=3a\\a=\frac{24}{3}\\ a=8$

Now we use the Pythagorean's Theorem to find each hypothenuse.

$c^{2} =4^{2} +3^{2}\\ c=\sqrt{16+9}=\sqrt{25} \\ c=5$

$b^{2} =8^{2} +6^{2}\\ b=\sqrt{64+36}=\sqrt{100}\\ b=10$

Therefore, the missing sides are

$a=8\\b=10\\c=5$

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Solve a right triangle, find all angles and sides. ​

Solve a right triangle, find all angles and sides.