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nika2105 [10]
2 years ago
7

Please help me asap and i will give you brainliest

Mathematics
1 answer:
mr Goodwill [35]2 years ago
5 0

Answer:

16

Step-by-step explanation:

Triangles XWY and ZWY are congruent because of AAS . the two 90 degree angles are congruent,∠xwy and ∠zwy are congruent because ∠xwz is being bisected, and wy is congruent with wy beacuse of the reflexive property. Since the two triangles are congruent zy must ve congruent to xy because of CPCTC. Since the two linew are congruent and xy=16, zy must also equal 16.

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
Nana76 [90]

The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

\Rightarrow  80= x^2

\Rightarrow  16\times 5= x^2

Taking square root on both sides.

\Rightarrow  \sqrt{16\times 5} = \sqrt{x^2}

\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

The length of BC is 4 \sqrt{5}.

7 0
3 years ago
How do you solve this?<br><br> -5√112
3241004551 [841]
Simplify the radicand by breaking the radicand up into a product of known factors. 

Answer: -20<span>√7 


</span>
3 0
3 years ago
9 of 10
Aleks04 [339]

\frac{3}{10}

Answer:

^^

Step-by-step explanation:

I just pressed 27/90 on the calculator hahahha

6 0
2 years ago
Read 2 more answers
Solve, please so it fast
jek_recluse [69]
I Think the answer is 17
6 0
2 years ago
What is the area of a equilateral triangle with the dimensions of 5ft
Ksivusya [100]
I’m pretty sure this is right:

3 0
3 years ago
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