Similarity of triangles. Find x

necessaryh

necessaryh

Answered question

2021-08-07

Similarity of triangles. Find x

Answer & Explanation

Raheem Donnelly

Raheem Donnelly

Skilled2021-08-08Added 75 answers

Step 1
Given data:
The first given length is AB=10.
The second given length is AD=8.
The third given length is AC=20.
The expression for the equal angle is BAD=BCA=0.
In triangle ABD and triangle CBA.
BAD=BCA
ABD=ABC
It means triangle ABD is similar to the triangle CBA.
Step 2
The expression for the ratio of the similar triangle is,
BDBA=ADAC
Substitute the given values in the above expression.
x10=820
x=4
Thus, the value of x is 4.

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