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Standard VIII

Mathematics

Altitude of a Triangle and Drawing Method

In the given ...

Question

In the given figure AD is altitude to triangle ABC, then which of the following is correct?

∠ A D C

90^{\circ}

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BD = CD

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AB = AC

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∠ A B D

∠ A C D

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Solution

The correct option is A $∠ A D C$ = $90^{\circ}$
As given,
AD is altitude and altitude is the perpendicular drawn from the vertex of the triangle to its opposite side.

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Similar questions

In the given figure, if AB = AC and $∠ A D B = ∠ A D C = 90^{\circ}$ , then which of the following is true?

In the given figure, if $∠ B A D = ∠ C A D, ∠ A B D = ∠ A C D,$ then which of the following is false?
a) $△ A B D ≅ △ A C D$ by SAS postulate
b) $△ A B D ≅ △ A C D$ by AAS postulate
c)AB = AC
d)BD = CD

In the given figure, if $∠ B A D = ∠ C A D, ∠ A B D = ∠ A C D,$ then which of the following is false?

Q. In given figure

A B C

is a triangle in which altitudes

B D

and

C E

to sides

A C

and

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are equal Show that

△ A B D ≅ △ A C E

Q. In the given figure, if AB = AC, then which of the following statement(s) is/are true?

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In the given figure AD is altitude to triangle ABC, then which of the following is correct?

The correct option is A ∠ADC= 90∘As given, AD is altitude and altitude is the perpendicular drawn from the vertex of the triangle to its opposite side.

The correct option is A $∠ A D C$ = $90^{\circ}$
As given,
AD is altitude and altitude is the perpendicular drawn from the vertex of the triangle to its opposite side.