triangle abc b= 90 ac2=2bc2 then find angleA
Answers
Answered by
0
Answer:
Given,
∆ABC
angleB = 90°
(AC)²= 2(BC)² ( i )
We know pythagoras theorem,
(AC)² = (BC)² + (AB)² ( ii )
Comparing equation ( i ) & ( ii )
2(BC)² = (BC)² + (AB)²
(BC)² = (AB)2
BC = AC
So, angleA = angleC
We know that,
angleA + angleB + angleC = 180°
angleA + 90° + angleA = 180°
2angleA = 180° - 90°
angleA = 90°/2
angleA = 45°
Hence, AngleA = AngleC = 45°
Hope it helps you❤️
Answered by
1
- ABC is isosceles triangle and
Similar questions
Accountancy,
2 months ago
Math,
2 months ago
Computer Science,
4 months ago
Science,
4 months ago
Math,
1 year ago
Math,
1 year ago