Share
Notifications

View all notifications

Some Question and Their Alternative Answer Are Given. Altitude on the Hypotenuse of a Right Angled Triangle Divides It in Two Parts of Lengths 4 Cm and 9 Cm. Find the Length of the Altitude. - Geometry

Login
Create free account


      Forgot password?

Question

Some question and their alternative answer are given. Select the correct alternative.

Altitude on the hypotenuse of a right angled triangle divides it in two parts of lengths 4 cm and 9 cm. Find the length of the altitude.

  • 9 cm 

  • 4 cm

  • 6 cm  

  • \[2\sqrt{6}\] cm

Solution

We know that,
In a right angled triangle, the perpendicular segment to the hypotenuse from the opposite vertex, is the geometric mean of the segments into which the hypotenuse is divided.

\[\therefore {AD}^2 = CD \times DB\]
\[ = 4 \times 9\]
\[ = 36\]
\[ \Rightarrow AD = 6 cm\]

Hence, the  correct option is 6 cm.

  Is there an error in this question or solution?

APPEARS IN

Solution Some Question and Their Alternative Answer Are Given. Altitude on the Hypotenuse of a Right Angled Triangle Divides It in Two Parts of Lengths 4 Cm and 9 Cm. Find the Length of the Altitude. Concept: Apollonius Theorem.
S
View in app×