Browse by Stream
QnA
Home

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side.

Q 10. If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lies on the third side.

Answers (1)

best_answer

Given: circles are drawn taking two sides of a triangle as diameters.

Construction: Join AD.

Proof: AB is the diameter of the circle and ∠ADB is formed in a semi-circle.
∠ADB=90∘-------1 (angle in a semi-circle)
Similarly,
AC is the diameter of the circle and ∠ADC is formed in a semi-circle.
∠ADC=90∘------2(angle in a semi-circle)
From 1 and 2, we have
∠ADB+∠ADC=90∘+90∘=180∘

∠ADB and ∠ADC are forming a linear pair.

Hence, point D lies on this side.

Posted by

mansi

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE allows Class 10 students with basic math to study mathematics in 11th for 2025-26
anam-khan

CBSE announces post-result schedule for Class 10, 12 board exams 2025; apply for answer sheet from May 21
anam-khan

Depressed over 61% in CBSE 10th result 2025; Kota student dies by suicide

Latest Question