# How do you find the length of the third side of a right angled triangle?

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## How do you find the length of the third side of a right angled triangle?

Hypotenuse calculator The hypotenuse is opposite the right angle and can be solved by using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c , Pythagoras’ theorem states that: a² + b² = c² . To solve for c , take the square root of both sides to get c = √(b²+a²) .

## What will be the length of third side of a right angle triangle whose hypotenuse is 5 cm and one of the side is 3 cm?

Answer. Hence, length of the third side of the triangle = (b) = 4 cm. So, The sides of the right angled triangle are 3cm , 4cm and 5cm.

## What would be the length of hypotenuse of a right angled triangle if other two sides are 24 cm and 7 cm?

∴The triangle formed by sides 7cm, 24cm, 25cm is a right triangle having hypotenuse 25cm.

## What is the length of the hypotenuse if the length of the sides of a triangle forming a right angle are 6 cm and 8 cm respectively *?

Answer: The answer is 10.

## Is it possible to draw a triangle the length of whose sides are 6 cm 8 cm and 13 cm give proper reasons?

(v) No. It is not possible to construct a triangle with lengths of its sides 3 cm,4 cm and 8 cm because the sum of two sides is not greater than the third side.

## What kind of triangle is represented by the side lengths 8 cm 6 cm and 10 cm?

Hence, it is right angled triangle.

## Is it possible to have a triangle whose sides are 5 cm 6 cm and 4 cm?

Answer: Step-by-step explanation: yes it is possible . and it will be called scalene triange as all its dimensions are different .

## Is it possible to construct a triangle with side lengths 12 cm 15 cm and 25 cm?

It is possible to construct a triangle with side lengths 12 cm, 15 cm, and 25 cm. The altitude to the base of an isosceles triangle bisects the vertex angle.

## Can you have a triangle with the following side 6 cm 3 cm and 2 cm?

No!!! This is because 2 sides of a triangle must be GREATER THAN the 3rd side. Since there is one false condition, the given sides are not the sides of a triangle.

## Is it possible to have a triangle with the following sides 3 cm 4 cm 5 cm?

YES, IT’S POSSIBLE! If the largest among the three sides of a triangle is lesser than the sum of the others, then it’ll be possible to draw the triangle. Here, in 3 cm, 4 cm, 5 cm, 5 cm is the largest.

## Is it possible to have a triangle with the following sides 3cm 4cm 7cm?

No, it is not possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm because here we see that sum of the lengths of two sides is equal to third side i.e., 4+3 = 7. As we know that, the sum of any two sides of a triangle is greater than its third side, so given statement is not correct.

## Is it possible to have a triangle with following sides check using inequality property a 3 cm 4 cm 7 cm?

No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

## Is it possible to have a triangle with the following sides 2cm 3cm 4cm?

Answer. yes it is possible to draw a triangle having sides 2cm,3cm,4cm. because sum of two sides is greater than third side.

## Will 10cm 3cm and 4cm make a triangle?

No we can’t because when we add 3 and 4 the answer is 7. It is possible to make a triangle if the sum of smaller sides is greater than the third side. So, the Δ can’t be made.

## Is it possible to have a triangle with 2 cm 3 cm and 5 cm?

It is not possible to draw a triangle.

## Is it possible to have a triangle with sides 2 cm 4 cm and 6 cm?

Answer: In any triangle the sum of any two sides should be greater than the third.In example given it is not true . Therefore it is not possible for it to be a triangle .

## Is it possible to have a triangle with the following sides 10.2 cm 5.8 cm 4.5 cm?

EXAMPLE 3 Is there a triangle whose sides have lengths 10.2 cm, 5.8 cm and 4.5 cm? sides would be greater than the length of the third side. Yes Therefore, the triangle is possible.

## Which of the following Cannot be the sides of a triangle i 4 cm 3 cm 6 cm?

Correct answer is (b) 2 cm, 4 cm, 6 cm.

## Is it possible to have a triangle with the following sides 4 cm 4 cm and 8 cm?

this triangle is not possible.

## Is it possible to have a triangle with the following sides 11 cm 5 cm 6 cm?

In a triangle, sum of any two sides is always greater than or equal to the third side. These measurements do not satisfy the basic condition of a triangle. Hence, the triangle cannot be constructed.

## Which of the following Cannot be the side of a triangle 4.5 cm 3.5 cm 6.4 cm?

The sum of the two sides is equal to the sum of third side. So, it cannot form a triangle.

## Which of the following Cannot be the sides of a right triangle * 1 point а 2 cm 2 cm 4 cm B 5 cm 12 cm 13 cm C 6 cm 8 cm 10 cm D 3 cm 4?

For a triangle to be a right angle triangle, the square of the largest side is equal to the sum of squares of other two sides. So, 36+6.25=42.25 which means it is a right angle triangle. It will form the right angle between sides 6 cm and 2.5 cm. 4+4≠25, which means it is not a right angle triangle.

## What is the Speciality of a triangle with sides 3 cm 4 cm and 5 cm explain?

If the sides of a triangle are 3 cm, 4 cm, and 5 cm, then it is a right angled triangle, since they are Pythagorean triplets.