Mathematics
Assertion (A) : The perpendicular drawn from the vertex of the right angle of a right-angled triangle divides the triangle into two triangles similar to each other.
Reason (R) : Triangles, which are similar to the same triangle, are similar to each other.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.
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Answer
We know that,
If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse then triangles on both sides of the perpendicular are similar to the whole triangle and to each other.
Also,
Triangles, which are similar to the same triangle, are similar to each other.
∴ Assertion (A) and Reason (R) are true.
Hence, Option 3 is the correct option.
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