If the sides are 10 cm by x cm by x-2 cm opposite to angle 60 degrees then by substituting the given values into the cosine rule a^2 = b^2 +c^2 -(2bc*cosine A) the value of x works out as 16
The largest angle of the triangle will be opposite its largest side and by using the Cosine Rule it works out as 106.23 degrees.
an isosceles triangle
The smallest angle will be opposite the smallest side of the triangle and so by using the cosine rule it works out as 43.84 degrees.
triangle
Yes, it is possible to construct a triangle with an angle of 60 degrees and two sides of 4cm. This type of triangle is known as a 30-60-90 triangle, where the sides are in the ratio 1:√3:2. In this case, the side opposite the 60-degree angle would be 4cm, the side opposite the 30-degree angle would be 2cm, and the hypotenuse would be 4√3 cm.
The largest angle of the triangle will be opposite its largest side and by using the Cosine Rule it works out as 106.23 degrees.
Given the reference perspective of a specific angle the sides are are the adjacent sides and the opposite side If we have a right triangle the longest side (opposite the right angle) is the hypotenuse.
A triangle with two congruent sides is isosceles. A triangle with an angle of 104 degrees is obtuse. So you would have an obtuse isosceles triangle.
Their opposite angle are equal and all 3 angles will add up to 180 degrees
The only triangle that has a hypotenuse is a right-triangle. The hypotenuse is the side opposite the right angle, so the angle is always 90 degrees. In this case, if you're just finding the angle then you don't need to know what the side lengths are.
an isosceles triangle
The smallest angle will be opposite the smallest side of the triangle and so by using the cosine rule it works out as 43.84 degrees.
No, a right angled triangle cannot have three acute angles because an acute angle is less than 90 degrees and a right angled triangle has one angle of exactly 90 degrees (which is what right angled means, equal to 90 degrees).Also, because the triangle has a right angle (of 90 degrees) it cannot have three equal sides; it can have two equal sides but the side opposite to the right angle (the hypotenuse) will always be longer than either of the other two sides.
triangle
a scalene triangle
Yes, it is possible to construct a triangle with an angle of 60 degrees and two sides of 4cm. This type of triangle is known as a 30-60-90 triangle, where the sides are in the ratio 1:√3:2. In this case, the side opposite the 60-degree angle would be 4cm, the side opposite the 30-degree angle would be 2cm, and the hypotenuse would be 4√3 cm.
The side of a triangle opposite the largest angle is the side of greatest length. It is also known as the Hypotenuse.