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What is the length of the longest side of a right angled triangle if the two shorter side are 5cm and 12 cm?
13 cm
If the length of the longest side of a right triangle is 3 more than the length of the shorter side the length of the hypotenuse is 3 more than the length of the longer side find length of each side?
9,3,6 The dimensions given above would not be suitable for a right angled triangle which presumably the question is asking about. The dimensions suitable for a right angled triangle in the question are: 9, 12, 15.
Can you determine the type of a triangle by just knowing it's sides?
Yes. The three sides uniquely specify the triangle. If all three sides are equal it is equilateral. If only two are equal it is isosceles. If none are equal it is scalene. If the sum of the squares of the two shorter lengths is equal to the square of the longest length, it is a right angled triangle. If the sum of the squares on the two shorter sides is less than the square on the longest, it is an obtuse angled triangle. Otherwise it is an acute triangle.
Is a hypotenuse short?
It may be of any length but it is always the longest side in a right-angled triangle.
What does the sine of an angle tell us?
In a right-angled triangle, the sine of one of the smaller angles is the ratio of the length of the opposite side to the length of the longest side.
What is the length of the longest side of a right angled triangle if the two shorter side are 5cm and 12 cm?
13 cm
What is the length of the longest side of a right angled triangle if the two shorter sides are 6cm and 8cm?
Using Pythagoras' theorem the longest side which is the hypotenuse works out as 10cm
If the length of the longest side of a right triangle is 3 more than the length of the shorter side the length of the hypotenuse is 3 more than the length of the longer side find length of each side?
9,3,6 The dimensions given above would not be suitable for a right angled triangle which presumably the question is asking about. The dimensions suitable for a right angled triangle in the question are: 9, 12, 15.
Can you determine the type of a triangle by just knowing it's sides?
Yes. The three sides uniquely specify the triangle. If all three sides are equal it is equilateral. If only two are equal it is isosceles. If none are equal it is scalene. If the sum of the squares of the two shorter lengths is equal to the square of the longest length, it is a right angled triangle. If the sum of the squares on the two shorter sides is less than the square on the longest, it is an obtuse angled triangle. Otherwise it is an acute triangle.
Is a hypotenuse short?
It may be of any length but it is always the longest side in a right-angled triangle.
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)
What does the sine of an angle tell us?
In a right-angled triangle, the sine of one of the smaller angles is the ratio of the length of the opposite side to the length of the longest side.
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.
A Piece of wire 12 ft long is bent to the shape of a right angled triangle If one side of the triangle is 3 ft what is the length of the longest side?
The sides of the triangle measure 3 feet, 4 feet, and 5 feet. 5 feet is the longest side.
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.
Does a right-angled triangle have any equal sides?
A right-angled triangle can have equal sides, but does not have to. A right-angled triangle with two equal sides CANNOT be an equilateral triangle. A right-angled triangle cannot be an equilateral triangle.Divide a square along the diagonal, and you are left with two right-angled triangles with two sides of equal length.
