If the sides of a triangle are in the ratio 3:4:5, prove that it isright-angled triangle
2 answers:
Answer:
yes it's a right angle triangle
Step-by-step explanation:
Given the sides are in the ratio 3:4:5.
Let ABC be the given triangle.
Let the sides be 3x,4x and hypotenuse be 5x.
According to Pythagoras theorem,
AC
2
=BC
2
+AB
2
BC
2
+AB
2
=(3x)
2
+(4x)
2
=9x
2
+16x
2
=25x
2
AC
2
=(5x)
2
=25x
2
AC
2
=BC
2
+AB
2
Hence ABC is a right angled triangle
Answer:
hope this helps
Step-by-step explanation:
Let a , b , c are three sides of a triangle
a : b : c = 3 : 4 : 5
a = 3x ,
b = 4x ,
c = 5x
a² = 9x²
b² = 16x²,
c² = 25x².
c² = a² + b²
by the pythagorean theorem,
a , b , c forms a right angled Triangle.
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