answer me this question answer is obtuse angle and isosceles traingle how ?
Answers
Answer:
isosceles triangle have 2 sides equal with more than 90 degree less than 180 degree
Step-by-step explanation:
let us consider the triangle is triangle ABC
coordinates of the vertices A,B,C are,
A (2 , 3 )
B (5 , 4 )
C ( 6 , 7 )
we know distance formula,
Distance = √ [(y2 - y1 )² + ( x2 - x1 )²]
length of side AB
= √ [ ( 4 - 3 )² + (5 - 2 )² ]
= √ [ ( 1)² + (3)² ]
= √ [ 1 + 9 ]
= √ 10
Now,
length of side BC
= √ [ ( 7 - 4 )² + (6 - 5 )² ]
= √ [ (3)² + (1)² ]
= √ [ 9 + 1 ]
= √(10)
Now,
length of AC
= √ [ (7 - 3 )² + (6 - 2)² ]
= √ [ (4)² + (4)² ]
= √ ( 16 + 16 )
= √ 32 = √( 16 x 2) = 4 √2
if we consider AC as a hypotenuse then by Pythagoras theorem
( AC)² = (AB) ² + (BC) ²
(4√2)² = (√10)² + (√10)²
8 = 10 + 10
8 = 20
hence it is not a right angle triangle
here we can conclude that 8 < 20 , therefor the measure of /_ B is more than 90°
,the one side AC is much bigger than other remaining two sides therefor the given triangle is obtuse angle isosceles triangle ( /_B > 90° )