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esme72
26.06.2019 •
Mathematics
Abc and aed are straight lines. be and cd are parallel. ac = 12.3cm ab = 8.2cm be = 3.8cm a) work out length cd. ad = 9.15cm b) work out length ed.
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Ответ:
Applying the knowledge of similar triangles to find the missing lengths:
a. the length of CD = 5.7 cm
b. the length of ED = 3.05 cm
The information for this problem has been put into a diagram for easy understanding (see attachment below).
Apply the knowledge of similar triangles to workout the lengths of CD and ED respectively.
Note:
Similar triangles will have the ratio of their corresponding sides equal to each other.Triangle ABE and triangle ACD are similar triangles.Since Triangles ABE and ACD are similar triangles, therefore:
AB/AC = AE/AD = BE/CDa. Find the length of CD:
Use AB/AC = BE/CDAB = 8.2 cm
AC = 12.3 cm
BE = 3.8 cm
CD = ?
Substitute:![\frac{8.2}{12.3} = \frac{3.8}{CD}](/tpl/images/0019/9151/c9800.png)
Cross multiplyb. Find the length of ED:
ED = AD - AEAD = 9.15 cm
Let's find AE:AB/AC = AE/AD
Substitute![\frac{8.2}{12.3} = \frac{AE}{9.15}](/tpl/images/0019/9151/c521d.png)
Cross multiplyED = AD - AE
SubstituteED = 9.15 - 6.1 = 3.05 cm
Therefore, applying the knowledge of similar triangles to find the missing lengths:
a. the length of CD = 5.7 cm
b. the length of ED = 3.05 cm
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Ответ:
Step-by-step explanation:
a) ΔACD ~ ΔABE so the ratios of corresponding sides are the same. That is ...
CD/BE = CA/BA
CD/3.8 = 12.3/8.2
CD = 3.8×12.3/8.2 = 5.7 . . . . cm
__
b) As above, the ratios of corresponding sides are the same.
ED/AD = BC/AC
ED/9.15 = (12.3-8.2)/12.3 . . . . BC = AC - AB
ED = 9.15×4.1/12.3 = 3.05 . . . . cm
Ответ:
Step-by-step explanation:
From the given picture, the radius of the base of the cylinder = 5.5 ft.
The height of the cylinder = 5 ft.+6 ft.=11 ft.
We know that the surface area of a cylinder is given by :-
Hence, the surface area of the given cylinder =![569.91\ ft^2](/tpl/images/0448/4577/f86c3.png)