What is the shortest altitude of a triangle?

Given: Sides of a triangle are 16 cm, 30 cm and 34 cm. ∴ The length of its shortest altitude is 14.1 cm.

What is the longest altitude in 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 are the 3 altitudes?

The three critical leadership altitudes are: 50,000 feet, 50 feet and 5 feet**.

How do u find the altitude of a triangle?

The basic formula to find the area of a triangle is: Area = 1/2 × base × height, where the height represents the altitude. Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.

Which is the largest altitude?

Mount Everest’s peak is the highest altitude above mean sea level at 29,029 feet [8,848 meters]. Mount Chimborazo’s peak is the furthest point on Earth from Earth’s center.

How many altitudes can a Class 7 triangle?

three altitudes
Answer: Three A triangle has three altitudes- one end is at the vertex and the other on the opposite side.

Can a triangle have two altitudes?

In an isosceles triangles ( a triangle with two congruent sides), the altitude having the incongruent side as its base will have midpoint of that side as its foot and according to the congruence tests if the triangle, two altitudes are of equal length , then the triangle is isosceles.

How long is the shorter leg of the triangle?

In any 30-60-90 triangle, you see the following: The shortest leg is across from the 30-degree angle, the length of the hypotenuse is always double the length of the shortest leg, and you can find the length of the long leg by multiplying the short leg by the square root of 3.

How do you find the shortest altitude of a triangle?

Likewise in an obtuse triangle, the altitude opposite the obtuse angle will be the shortest. In an equilateral triangle, all sides being equal, all altitudes will be equal in length. In a scalene triangle, the shortest altitude will be to the longest side.

What is the relationship between altitude and area of a triangle?

However, the shortest altitude is opposite the longest side. Besides, the area of a triangle is half the product of a base (a side) and the corresponding altitude. Base and altitude are directly proportional and the constant of proportionality is 2A (that’s area).

What is the use of altitude in trigonometry?

The main use of the altitude is that it is used for area calculation of the triangle i.e. area of a triangle is (½ base × height). Now, using the area of a triangle and its height, the base can be easily calculated as Base = [ (2 × Area)/Height]

What is the altitude of the triangle ABC?

For example, you may see “draw an altitude of the triangle ABC”. As a measurement. You may see “the altitude of the triangle is 3 centimeters”. In this sense it is used in way similar to the “height” of the triangle. It can be outside the triangle

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