If ABC EFD such that AB + AC = 11 cm, then find the value of FE + DE
Answers
Answer:
FE+DE=11 cm
Step-by-step explanation:
Since ABC=EFD
AB+AC=EF+ED
Can be written as
AB+AC=FE+DE
11cm=FE+DE
Concept:
Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. "≅" is the congruence symbol.
When two figures resemble one another in terms of size and shape, this is what mathematics refers to as congruence. In essence, there are four congruence principles that demonstrate if two triangles are congruent.
SAS( side angle side)
AAA( angle angle angle)
SSS(side side side)
RHS ( Right angle hypotenuse and side)
Given:
If ABC≅EFD such that AB + AC = 11cm
Find:
find the value of FE + DE
Solution:
Since ABC≅EFD
AB+AC=EF+ED
But AB+AC=11cm
So,
11cm=FE+DE
Therefore, FE+DE=11cm
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