answersLogoWhite

0

Each side of the triangle is 45cm/3=15cm. The altitude divides the base into two equal segments of 7.5cm. This results in a right triangle with hypotenuse 15 cm and base 7.5cm. Pythagorus tells us a2+b2=c2 where a=altitude, b=base, c=hypotenuse. a2=c2-b2=152-7.52=225-56.25=168.75, a=12.99cm. Alternatively, the 3 angles of an equilateral triangle are all 60 degrees. The altitude divides one of these angles into two 30 degree angles. The cosine of 30 degrees is the opposite divided by the adjacent side. The adjacent side is the altitude. Thus a/c=cosine of 30 degrees, a=c X cos30 degrees = 15X0.866=12.99cm

User Avatar

Wiki User

17y ago

What else can I help you with?

Related Questions

The altitude of an equilateral triangle is 8.3m. find the perimeter?

28.75m


The perimeter of an equilateral triangle is 18 what is the measure of the altitude?

Given a perimeter of 18 units, the resulting altitude is 5.2 (5.19615) units.


What is the perimeter of an equilateral triangle with an altitude of 15?

An equilateral triangle has 3 equal interior angles each of 60 degrees. There are two right angled triangles in an equilateral triangle. So we can use trigonometry to find the length of one side of the equilateral triangle then multiply this by 3 to find its perimeter. Hypotenuse (which is one side of the equilateral) = 15/sin 60 degrees = 17.32050808 17.32050808 x 3 = 51.96152423 Perimeter = 51.96152423 units.


Perimeter of equilateral triangle?

The perimeter of an equilateral triangle is calculated by multiplying the length of one side by 3, as all three sides of an equilateral triangle are equal in length. Therefore, if the length of one side of the equilateral triangle is represented by "s," the perimeter would be 3s. This is because there are three sides in total that need to be added together to find the perimeter of the equilateral triangle.


What is the perimeter and area of an equilateral triangle with a side of 8?

Perimeter of equilateral triangle: 24 units Area of equilateral triangle: 27.713 square units rounded to three decimal places


What is the area of an equilateral triangle that has a perimeter of 71 feet?

Find the area of an equilateral triangle if its perimeter is 18 ft


What is the perimeter of an equilateral triangle if each side is 40centimeters?

Each side of an equilateral triangle is 9.2 ft, what is the perimeter of the triangle? Solution: 27.6 ft. The perimeter of a triangle is total length of all three sides added up. An equilateral triangle has 3 equal sides. So the perimeter is 9.2×3=27.6 ft.


What is the length of a side of an equilateral triangle that has a altitude of 12?

Given an altitude of 12 units, an equilateral triangle has side lengths of 13.9 (13.85641) units.


Is the altitude of an equilateral triangle equal to a side length?

No. The altitude is smaller.


The perimeter of an equilateral triangle is 63m what is the measure of one side of the triangle?

An equilateral triangle has three sides of the same length. Therefore, the length of each side of an equilateral triangle with a perimeter of 63 metres is equal to 63/3 = 21 metres.


What is the perimeter of an equilateral triangle with one side 10.5?

An equilateral triangle has all three sides the same length. → perimeter = 3 × 10.5 = 31.5 units.


What is the ratio of the length of a side of an equilateral triangle to its perimeter?

Length of a side of an equilateral triangle : Perimeter = 1 : 3 For example, if the length of the sides of an equilateral triangle were 5cm each, then perimeter would be three times that much - 15cm. 5 : 15 is the same as 1 : 3 when simplified. Length of a side of an equilateral triangle : Perimeter = 1 : 3 For example, if the length of the sides of an equilateral triangle were 5cm each, then perimeter would be three times that much - 15cm. 5 : 15 is the same as 1 : 3 when simplified.