Points A 1-0- F 1-6 and D 3-6 are joined to form a figure- Which of the following holds true-A- In the isosceles triangle AFD - AF - ADB- In the right angled - AFD - AF - AD-C- In the scalene not right angled triangle AFD- AF AD -

The correct option is D In the right angled triangle AFD, AF gt; AD. In a triangle, shortest distance between vertex and the side opposite to the vertex is ...

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Byju's Answer

Standard IX

Mathematics

Theorem 2: Triangles

Points A 1,0,...

Question

Points A(1,0), F(1,6) and D(3,6) are joined to form a figure. Which of the following holds true?

In the right angled ᐃAFD, AF < AD.

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In the isosceles triangle AFD, AF < AD

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In the scalene (not right angled) triangle AFD, AF < AD

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In the right angled triangle AFD, AF > AD.

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Solution

The correct option is D
In the right angled triangle AFD, AF > AD.

In a triangle, shortest distance between vertex and the side opposite to the vertex is the perpendicular distance between them.
Consider the $Δ A F D$ , since $A F ⊥ F D, A F < A D$
Thus, $A F D$ is a right angled triangle, with $A F < A D$ .

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Points A(1,0), F(1,6) and D(3,6) are joined to form a figure. Which of the following holds true?

The correct option is D In the right angled triangle AFD, AF > AD. In a triangle, shortest distance between vertex and the side opposite to the vertex is the perpendicular distance between them. Consider the ΔAFD, since AF⊥FD,AF<AD Thus, AFD is a right angled triangle, with AF<AD.