How do you find the length of the base and the altitude of a triangle?

Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base. Let us learn how to find out the altitude of a scalene triangle, equilateral triangle, right triangle, and isosceles triangle.

How do you find the length of the edge of a triangle?

Pythagorean Theorem: Lengths of Edges in a Right Triangle The most common application of the Pythagorean theorem is to use the known lengths of two of the sides of a right triangle to find the length of the third side, using algebra and the formula a² + b² = c².

What is the length of the altitude drawn to the longest side?

The altitude to the longest side has a length of . The boring way to do this problem is to use Heron’s formula to calculate the area of the triangle, and then use the formula Area = (1/2)*Base*Height to calculate the altitude to the longest side.

How do you find the longest altitude of a triangle?

Altitudes can be used in the computation of the area of a triangle: one half of the product of an altitude’s length and its base’s length equals the triangle’s area. Thus, the longest altitude is perpendicular to the shortest side of the triangle.

What do you mean by altitude of a place?

Altitude, like elevation, is the distance above sea level. Areas are often considered “high-altitude” if they reach at least 2,400 meters (8,000 feet) into the atmosphere. As altitude rises, air pressure drops. In other words, if the indicated altitude is high, the air pressure is low.

What is an edge length?

So instead of naming it the length, the width, and the height, it would be one side length times another side length times another side length, also known as the side length cubed. Therefore, the edge length of a cube whose volume is 64 cubic centimeters will be four centimeters.

How do you find the sides of a triangle with one side?

How to find the sides of a right triangle

1. if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² – b²)
2. if leg b is unknown, then. b = √(c² – a²)
3. for hypotenuse c missing, the formula is. c = √(a² + b²)

Are altitudes of a triangle equal?

If all the three altitudes of a triangle are equal, then the triangle is equilateral.

How do I calculate altitude?

Find pressure altitude

1. Subtract the current altimeter setting from the standard pressure of 29.92.
2. Multiply by 1,000.
3. If you have a negative number, subtract it from the field elevation. Add a positive number.

What is the length of the altitude of a plane triangle?

The length of the altitude of plane triangle which runs to and meets longest side of triangle (21cm) at rt. angle is 8.0 cm. : employing Heron’s formula for the area of triangle in terms of the lengths of its sides…Area =(s(s-a)(s-b)(s-c))^1/2…(i.e.

What is the length of the longest side of a triangle?

• the longest side (21 cm) has greatest angle at the opposite vertex. • the shortest altitude will connect the vertex with the greatest angle and the longest side, 21 cm. Half perimeter of the triangle = (10+17+21)/2 cm =24 cm. , Ph.D. in Civil Engineering. Maths keeps one mentally active.

What is the length of the altitude to the longest side?

The altitude to the longest side has a length of 8. The length of the altitude of plane triangle which runs to and meets longest side of triangle (21cm) at rt. angle is 8.0 cm. :

What is the area of the triangle ABC?

The sides of the triangle ABC are AB= 10 cm, BC = 17 cm and CA = 21 cm. Area of ABC by Heron’s formula = [24 (24–10) (24–17) (24–21)]^0.5 = [24*14*7*3]^0.5 = 84 sq cm. The shortest altitude will be on CA and its length = 84*2/21 = 8 cm. A genius way for people to benefit during the gas shortage.

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