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1 vote
If the sides of a triangle are in the ratio 3:4:5, prove that it is
right-angled triangle​

User Aadaam
by
8.6k points

2 Answers

8 votes

Answer:

yes it's a right angle triangle

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

User Joshua Barron
by
8.6k points
8 votes

Answer:

hope this helps

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.

User DaveUK
by
8.1k points

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