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yam78
12.08.2020 •
Mathematics
Can anyone tell me the answer of the question attached below??
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Ответ:
AE = 5
Step-by-step explanation:
I sketched the triangle based on the information provided.
since ∠A = 90° and is divided into three equal angles, then ∠BAD, ∠DAE, and ∠CAE = 30°
Since AB = 5 and BC = 10, then ΔCAB is a 30°-60°-90° triangle which implies that ∠B = 60° and ∠C = 30°
Using the Triangle Sum Theorem, we can conclude that ∠ADB = 90°, ∠ADE = 90°, ∠ AED = 60°, AND ∠ AEC = 120°
We can see that ΔAEC is an isosceles triangle. Draw a perpendicular to divide it into two congruent right triangles. Label the intersection as Z. ΔAEZ and ΔCEZ are 30°-60°-90° triangles.
Using the 30°-60°-90° rules for ΔABC we can calculate that AC = 5√3.
Since we divided ΔAEC into two congruent triangles, then AZ =![\dfrac{5\sqrt 3}{2}](/tpl/images/0719/1781/774d3.png)
Now use the 30°-60°-90° rules to calculate AE = 5
Ответ:
$2,703.06
step-by-step explanation:
add: $2,687.44+ $2,613.09+$2,808.64= $8,109.17
divide by 3 because you added 3 numbers.
$8,109.17/3=
answer: $2,703.06