in the figure if triangle b e a congruent triangle CDA then prove that triangle d e a triangle BCA
Answers
Step-by-step explanation:
BY SAS PROPERTY HERE IS UR ANSWER JAI HIND
If triangle BEA congruent to triangle CDA then it is proved that triangle DEA is similar to triangle BCA.
Hi there,
Both the figure and som data from the question is missing. I have attached the figure below as well as the complete question and have solved it accordingly. Hope this is helpful
Q. In the figure if triangle BEA is congruent to triangle CDA then prove that triangle DEA is similar to triangle BCA.
Step-by-step explanation:
Step 1:
It is given that,
∆BEA ≅ ∆CDA
We know that if two or more triangles are congruent to each other, then all of their corresponding angles and sides are congruent as well. This property is known as Corresponding Parts of Congruent Triangles which is abbreviated as “C.P.C.T” .
∴ AE = AD …… (i)
and
AB = AC
⇒ AC = AB ….. (ii)
On dividing eq. (i) by (ii), we get
……. (iii)
Step 2:
Now, consider ∆DEA and ∆BCA, we have
∠A = ∠A …… [common angle between two triangles]
……. [from eq. (iii)]
If the corresponding sides of two triangles are proportional and also, one of the angles are equal then the two triangles are said to be similar by SAS similarity property .
∴ ∆DEA ~ ∆BCA
Hence proved
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