167

You visited us 167 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Area of Triangle

Find the orth...

Question

Find the orthocenter point of the triangle.

H

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

H_{1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

H_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

H_{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $H$
Orthocenter of a triangle is a point where the three altitudes of a triangle meet each other.
Here, the point $H$ is the orthocenter of the triangle $A_{1} A_{2} A_{3}$ .
Since the altitude $A_{1} H_{1}, A_{2} H_{3}, A_{3} H_{3}$ meets at $H$ point.

Suggest Corrections

Similar questions

Q. If

h_{1}, h_{2}, h_{3}

are the altitudes of a triangle, then the minimum value of

\frac{1}{h_{1}} + \frac{1}{h_{2}} + \frac{1}{h_{3}}

\frac{a}{R}

then a is

Q. In

Δ

A B C

the sides opposite to angles

A, B, C

are denoted by

a, b, c

respectively.

Let

A B C

be a triangle with altitudes

h_{1}, h_{2}, h_{3}

and inradius

r

Then

\frac{h_{1} + r}{h_{1} - r} + \frac{h_{2} + r}{h_{2} - r} + \frac{h_{3} + r}{h_{3} - r}

A stone falls freely under gravity, covers distance $h_{1}, h_{2}$ and $h_{3}$ in the first 5 sec, the next 5 sec and the further next 5 sec respectively. The relation between $h_{1}, h_{2}$ and $h_{3}$ is:

Q. If a

△ A B C

has altitudes

h_{1}, h_{2}, h_{3}

and inradius

r

, then the minimum value of

\frac{h_{1} + r}{h_{1} - r} + \frac{h_{2} + r}{h_{2} - r} + \frac{h_{3} + r}{h_{3} - r}

There are three setups, shown in figure. Voltage of ends are given, heat developed in 1, 2 and 3 are

H_{1}, H_{2}

and

H_{3}

, then

Join BYJU'S Learning Program

Find the orthocenter point of the triangle.

The correct option is A HOrthocenter of a triangle is a point where the three altitudes of a triangle meet each other.Here, the point H is the orthocenter of the triangle A1A2A3.Since the altitude A1H1,A2H3,A3H3 meets at H point.

The correct option is A $H$
Orthocenter of a triangle is a point where the three altitudes of a triangle meet each other.
Here, the point $H$ is the orthocenter of the triangle $A_{1} A_{2} A_{3}$ .
Since the altitude $A_{1} H_{1}, A_{2} H_{3}, A_{3} H_{3}$ meets at $H$ point.