Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Q.

ABC is an acute-angled triangle. The perpendicular from B on AC is equal to the perpendicular from C to AB.

State whether the statement regarding above information is true or false.

AB is equal to AC.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

a

True

b

False

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given, ABC is an acute-angled triangle. The perpendicular from B on AC is equal to the perpendicular from C to AB.
Question Image

Question Image

In

△ ABD

and

△ ACE

,
BD = CE (Since the perpendicular from B on AC is equal to the perpendicular from C to AB)
∠A = ∠A (Common)
∠BDA = ∠CEA = 90°
So,

△ ABD ⩭ △ ACE

. [By ASA congruence rule].
Thus, AB = AC since the two triangles are congruent.
So, the given statement is true and the correct option is 1.

Watch 3-min video & get full concept clarity

hear from our champions

Related Blogs

Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs

Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

Not sure what to do in the future? Don’t worry! We have a FREE career guidance session just for you!

ABC is an acute-angled triangle. The perpendicular from B on AC is equal to the perpendicular from C to AB. State whether the statement regarding above information is true or false.AB is equal to AC.