Mathematics: -- In AQRS, the measure of ZS=90°, RQ = 85, SR = 36, and QS = 77. What ratio represents the cosecant of ZQ? R 85 36 s 77 Antar: Submit Anwar

-- In AQRS, the measure of ZS=90°, RQ = 85, SR =

Ответ:

shayravirgen30

14.07.2021

Mathematics

The area of triangle AED is 12 square centimeters

Step-by-step explanation:

The question in English is

The isosceles trapezoid ABCD, whose area is equal to 72 cm2, is divided into an AED triangle and a EBCD trapezoid. The AE segment is 4 cm long and the CD segment is 2 times longer. Calculate the area of the AED triangle. Save the calculations.

The picture of the question in the attached figure

step 1

Find the length side DE

we know that

The area of the trapezoid ABCD is given by the formula

$A=\frac{1}{2} (CD+AB)DE$

$A=72\ cm^2$

$72=\frac{1}{2} (CD+AB)DE$

we have

$AE=4\ cm\\CD=2(4)=8\ cm\\AB=2AE+CD=2(4)+8=16\ cm$

substitute

$72=\frac{1}{2} (8+16)DE$

solve for DE

$144=24DE\\DE=144/24\\DE=6\ cm$

step 2

Find the area of triangle AED

The area of triangle AED is given by the formula

$A=\frac{1}{2}(AE)(DE)$

substitute the given values

$A=\frac{1}{2}(4)(6)=12\ cm^2$

Trapez równoramienny ABCD, którego pole jest równe 72 cm2, podzielono na trójkąt AED i trapez EBCD.

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-- In AQRS, the measure of ZS=90°, RQ = 85, SR = 36, and QS = 77. What ratio
represents the cosecant of ZQ?
R
85
36
s
77
Antar:
Submit Anwar

Ответ:

Ответ:

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