Divide 6√ 3 by 3. You now have the base of the right triangle. Multiply 2√ 3 by 2 to get the base of the equilateral triangle as well as all the sides. Use the formula of A=BH/2 to find the final area of the triangle.
Hereof, How do you find the radius of an equilateral triangle? The radius of a circumcircle of an equilateral triangle is equal to (a / √3), where 'a' is the length of the side of equilateral triangle.
How do you find the area of an equilateral triangle with apothem of 4?
Additionally How do you find the area of an equilateral triangle with apothem of 6? 1 Answer
- A=ah2.
- =6⋅4√32.
- =12√3.
What does apothem mean in math? Definition of apothem
: the perpendicular from the center of a regular polygon to one of the sides.
How do you find the area of an equilateral triangle given the radius?
What is inradius of equilateral triangle? The inradius of an equilateral triangle is s 3 6 frac{ssqrt{3}}{6} 6s3 . Note that the inradius is 1 3 frac{1}{3} 31 the length of an altitude, because each altitude is also a median of the triangle.
What is the ratio of the area of circumcircle of equilateral triangle to the area of the square with the same side length as equilateral triangle? Thus the required ratio is 4:1.
Where is the apothem in a triangle?
The apothem is the distance from the center of the polygon to the midpoint of a side. In this case we have a triangle so the Apothem is the distance from the center of the triangle to the midpoint of the side of the triangle. The Apothem is perpendicular to the side of the triangle, and creates a right angle.
Also How do you find an apothem? We can also use the area formula to find the apothem if we know both the area and perimeter of a polygon. This is because we can solve for a in the formula, A = (1/2)aP, by multiplying both sides by 2 and dividing by P to get 2A / P = a. Here, the apothem has a length of 4.817 units.
What is the area of an equilateral triangle with side √ 3 4 cm2?
Solution: Using the area of equilateral triangle formula: (√3/4) × a2 square units, we will substitute the values of the side length. Therefore, the area of the equilateral triangle (√3/4) × 42 = 4√3 square units.
What's the area of an equilateral triangle with sides of 10 inches and height of 7 inches? Summary: The area of a triangle with sides of 10 inches and a height of 7 inches is 35 square inches.
How do you find the apothem of a triangle?
How do you find the apothem of a Nonagon?
What is the apothem of a pentagon? Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.
How do you find the area with the apothem?
What is the area of an equilateral triangle with a radius of 4 in?
The radius of the circumcircle for an equilateral triangle is given by the formula r = s/√3, where r is the radius and s is the side of the triangle. In this case r = 4, so s = 4√3. Area of an equilateral triangle is given by the formula, A = √3s²/4, where a is the side of the triangle and A is the area.
What is the value of pi for an equilateral triangle? So the base is: base = 2*radius*sin(360˚/n). Now the circumference is n*base, which we can expand as n*2*r*sin(360˚/n). So let's find pi with n=32. ft = 3.14 ...
How is inradius calculated?
Inradius can be calculated with the following equation: r=As Where A is the area of the triangle, and s is the semi-perimeter of the triangle, or one-half of the perimeter. You can use this equation to find the radius of the incircle given the three side lengths of a triangle.
What is the formula of inradius of a triangle? Calculating the radius
Its radius, the inradius (usually denoted by r) is given by r = K/s, where K is the area of the triangle and s is the semiperimeter (a+b+c)/2 (a, b and c being the sides).
How do you find the inradius of a right angled triangle?
Approach: Formula for calculating the inradius of a right angled triangle can be given as r = (P + B – H) / 2.
What is the ratio of incircle and circumcircle of an equilateral triangle? The ratio of the areas of the incircle and the circumcircle of an equilateral triangle is: 1:2.
What is incircle and circumcircle?
The circumcircle of a triangle is the unique circle determined by the three vertices of the triangle. …The circle of a triangle is the circle inscribed in the triangle. Its center is called the incenter (green point) and is the point where the (green) bisectors of the angles of the triangle intersect.
How do you find the area of a circumcircle? Approach: Since the hypotenuse C passes through the center of the circle, the radius of the circle will be C/2. And we know that the area of a circle is PI*r2 where PI = 22 / 7 and r is the radius of the circle. Hence the area of the circumcircle will be PI*(C/2)2 ie PI*C2 / 4.