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3 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]3 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]3 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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Urgent help, please!.....

pishuonlain [190]

To solve this problem, we want to get all of the possible options into the same form, so that it is easier to compare them. Personally, I prefer comparing in decimals, so that is how I am going to solve this problem.

13/4 - To turn this improper fraction into its decimal equivalent, it is easier to first turn it into a mixed number by dividing the numerator by the denominator.

13/4 = 3 1/4

Because we know that 1/4 = 0.25, we now know that 3 1/4 = 3.25

Therefore, 13/4 = 3.25

3 1/2 - This is similar to the end of the process above. We know that 1/2 = 0.5, so we know that 3 1/2 = 3.5

3 1/2 = 3.5

3.15 is already in its decimal form, so we can leave that be for now.

√9 - To simplify this, we must figure out what number multiplied by itself equals 9. If we start with 2 (2*2 = 4), so that is too small. Next maybe we try 4 (4 * 4 = 16), so that is too large. Now we know we need a number in between 2 and 4, so maybe we try 3. 3 * 3 = 9, so we can conclude that √9 = 3.

√9 =3

If we take all of our decimal equivalents, we have 3.25, 3.5, 3.15, and 3.

Because all of these values have the same whole number value of 3, we need to compare the decimals to find out what order they belong in.

Our final order is (from smallest to largest): 3, 3.15, 3.25, 3.5

But, we need to substitute in the equivalent values we were given for these decimals originally to finish the problem.

This makes your final answer: √9, 3.15, 13/4, 3 1/2

Hope this helps!

4 0

4 years ago

Read 2 more answers

((write an equation using y=mx+b format))

butalik [34]