Which is the graph of the rose curve r=4 cos2 phi
1 answer:
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By applying the knowledge of similar triangles, the lengths of AE and AB are:
a.
b.
<em>See the image in the attachment for the referred diagram.</em>
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- The two triangles, triangle AEC and triangle BDC are similar triangles.
- Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.
<em>This implies that</em>:
- AC/BC = EC/DC = AE/DB
<em><u>Given:</u></em>
<u>a. </u><u>Find the length of </u><u>AE</u><u>:</u>
EC/DC = AE/DB
- Plug in the values
- Cross multiply
- Divide both sides by 5.4
<u>b. </u><u>Find the length of </u><u>AB:</u>
AC = 6.15 cm
To find BC, use AC/BC = EC/DC.
- Plug in the values
- Cross multiply
- Thus:
- Substitute
Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:
a.
b.
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Step-by-step explanation:
We have been given that AE=BE and .
We can see that angle CEA is vertical angle of angle DEB, therefore, as vertical angles are congruent.
We can see in triangles CEA and DEF that two angles and included sides are congruent.
or
Therefore, by ASA postulate.
Since corresponding parts of congruent triangles are congruent, therefore CE must be congruent to DE.