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In triangle , and the altitude from meets at . Which of the following relations is…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In triangle
A
B
C
ABC
A
B
C
,
∠
B
=
90
∘
\angle B = 90^{\circ}
∠
B
=
9
0
∘
and the altitude from
B
B
B
meets
A
C
AC
A
C
at
D
D
D
. Which of the following relations is correct? (a)
A
B
⋅
B
C
=
A
C
2
AB\,\cdot BC = AC^{2}
A
B
⋅
B
C
=
A
C
2
(b)
A
D
⋅
D
C
=
A
B
2
AD\,\cdot DC = AB^{2}
A
D
⋅
D
C
=
A
B
2
(c)
A
D
⋅
A
C
=
A
B
2
AD\,\cdot AC = AB^{2}
A
D
⋅
A
C
=
A
B
2
(d)
A
D
⋅
A
C
=
B
C
2
AD\,\cdot AC = BC^{2}
A
D
⋅
A
C
=
B
C
2
Related theory
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Similarity
Triangle similarity conditions
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