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2 years ago

If the sides of a triangle are in the ratio 3:4:5, prove that it isright-angled triangle

Mathematics

2 answers:

Natali5045456 [20]2 years ago

8 0

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,

=BC

+AB

=(3x)

+(4x)

=9x

+16x

=25x

=(5x)

=25x

=BC

+AB

Hence ABC is a right angled triangle

lyudmila [28]2 years ago

6 0

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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insens350 [35]

Answer:

Step-by-step explanation:

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2 years ago

How do you determine what your grade average is based on the following grades?:

fiasKO [112]

Answer:

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Step-by-step explanation:

Average is mathematically defined as the sum of the values divided by the total number of values and is expressed as:

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The Tests' average is calculated as:

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3 years ago

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rjkz [21]

Answer:

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Step-by-step explanation:

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3 years ago

Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

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tigry1 [53]

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2 years ago

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

If the sides of a triangle are in the ratio 3:4:5, prove that it isright-angled triangle