The points (–4, 0), (4, 0), (0, 3) are the vertices of a

(A) right triangle   (B) isosceles triangle

(C) equilateral triangle   (D) scalene triangle

 

Slide19.JPG

Slide20.JPG
Slide21.JPG Slide22.JPG

This video is only available for Teachoo black users

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Question 11 The points (–4, 0), (4, 0), (0, 3) are the vertices of a (A) right triangle (B) isosceles triangle (C) equilateral triangle (D) scalene triangle Let A (−4, 0), B (4, 0) and C (0, 3) Let’s find AB, BC and AC Finding AB AB = √((𝑥2 −𝑥1)2+(𝑦2 −𝑦1)2) = √(( 4−(−4))2+(0 −0)2) = √((4+4)2+(0)2) = √(8^2+0) = √(8^2 ) = 8 units Finding AC Here, A (−4, 0) and C (0, 3) AC = √((𝑥2 −𝑥1)2+(𝑦2 −𝑦1)2) = √((0−(−4))2+(3 −0)2) = √(42+32) = √(16+9) = √25 = √(5^2 ) = 5 units Finding BC Here, B (4, 0) and C (0, 3) BC = √((𝑥2 −𝑥1)2+(𝑦2 −𝑦1)2) = √((0−4)2+(3 −0)2) = √((−4)2+32) = √(16+9) = √25 = √(5^2 ) = 5 units Thus, AB = 8, AC = 5, BC = 5 Since AC = BC ∴ Two sides of the Δ ABC are equal Hence, Δ ABC is an isosceles triangle So, the correct answer is (B)

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.