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The length of sides of right angles of a right angled triangle are 5x and 3x-1 cm if the area of triangle is 60 cm 2 find the hypotenuse?
find the lenght of the hypotenuse of a right triangle whose sides are (3x-1)cm and (x+2)cm
Improved answer by David Gambell:-
0.5*(3x-1)*5x = 60
15x2-5x-120 = 0
Solving the quadratic equation gives x a positive value of 3
Using Pythagoras: 82+152 = 289 and its square root is 17
So the hypotenuse is 17 cm
What else can I help you with?
What is the length of a hypotenuse?
A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.
How do you find the length of the third side of a right angled triangle?
a2 +b2 = c2 (c is the longest side/or hypotenuse)
How do you find angles on a right triangle?
You do not need to, if you have a right triangle that angle is 90* so the other 2 angles are 45* apiece. That is actually only partially accurate. There can be a right angled triangle with sides of 2-3-5. 5 being the hypotenuse in which the triangle's angles will not be 90-45-45 but 90-33.69-56.31. To find the angles of a right triangle, you will need to know the length of the sides. With the length of all three sides, you will need to utilize sine, cosine, and tangent to find the angles.
What is the length of the median to the hypotenuse of a right triangle if the hypotenuse is 12 inches in length?
The median to the hypotenuse of a right triangle that is 12 inches in length is 6 inches.
Consider a right triangle with a hypotenuse of length 10.15 The smallests angle in the triangle measures 30 degrees What is the sume of all interior angles for a triangle?
It doesn't matter what type of triangle it is, or the length of the sides. The sum of the interior angles of a triangle always adds up to 180 degrees
What is Circumradius of a right angled triangle?
The circumradius of a right angled triangle would be equal to half the length of its hypotenuse.
What is the length of a hypotenuse?
A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.
I have a right angled triangle which i know all the angles of. I have the length of one side which is adjacent to the right angle. How can I work out the length of the hypotenuse and the other side?
Use tangent to find the other leg, and the sine or cosine to find the hypotenuse.
How do you find the hypotenuse of a non right triangle?
To find the hypotenuse of a non-right triangle, you can use the Law of Cosines. This theorem states that the square of the length of one side of a triangle is equal to the sum of the squares of the other two sides, minus twice the product of those sides and the cosine of the angle between them. By rearranging the formula and plugging in the known side lengths and angles, you can solve for the length of the hypotenuse.
How do you measure a hypotenuse?
Use Pythagoras' theorem...a2 + b2 = c2where c is the length of the hypotenuse in a right-angled triangle.
What's the equation to find the length of a hypotenuse of a triangle?
The basic equation for the hypotenuse of a right angled triangle is A squared plus B squared equals C squared. Where A and B are the two non hypotenuse sides and C is the hypotenuse. To find other lengths and angles of a triangle various functions in the branch of mathematics known as trigonometry is used.
Is a hypotenuse short?
It may be of any length but it is always the longest side in a right-angled triangle.
How can you calculate the length of the hypotenuse of a right angle triangle?
By using the formula a2+b2=c2, where a is one side of the right-angled triangle and b is the other side of the right angle triangle. C stands for the hypotenuse of the right-angled triangle. Note: this formula only works for RIGHT-ANGLED TRIANGLES!!!
What is the ratios function of sin?
The sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.In terms of ratios, the sine of an angle is defined, in a right angled triangle, as the ratio of lengths of the opposite side to the hypotenuse.
What is The Difference Between an equilateral triangle And A Right Angled Triangle?
An equilateral triangle has all sides the same length and all its angles are 60dgrees. A right angled triangle is just a triangle with a right angle.
How do you construct a 3 4 5 triangle Read?
It will be a right angled triangle with sides of 3 and 4 units with an hypotenuse of 5 units in length.
In a right triangle the sine of any angle is?
The longest side of the right angles triangle is called the hypotenuse. Divide the length of the side opposite the chosen angle by the length of the hypotenuse. This is the Sine of the angle.
