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

Posted on October 13, 2022 by Author

Table of Contents

  • 1 What is the length of the altitude to the longest side of a triangle?
  • 2 How do you find the length of the altitude on the longest side?
  • 3 What is altitude of a triangle class 7?
  • 4 What is the length of an altitude of an equilateral triangle of side 8cm?
  • 5 What is the altitude formula?
  • 6 What is the length of the altitudes of a triangle?
  • 7 How do you find the hypothenuse of a right triangle?

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

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 length of the altitude on the longest side?

question_answer Answers(2)

  1. GIven sides of the triangle are 20cm, 21 cm and 29 cm.
  2. Now,
  3. From the given lengths of sides 29cm is the largest side.
  4. ∴ Length of the altitude corresponding to the largest side = 14.48 cm.
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How do you find the altitude of a Class 10 triangle?

So, let us draw a triangle ABC in which AD is altitude. As the triangle ABC equilateral triangle. So, CD = DB. And AD will be the altitude.

What is altitude formula?

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.

What is altitude of a triangle class 7?

An altitude of a triangle is the perpendicular line drawn from the vertex of the triangle to the opposite side. The altitude of a triangle is also known as the height of the triangle. In triangle ABC, AD is the altitude which is a perpendicular line drawn from the vertex A to the point D in the opposite side BC.

What is the length of an altitude of an equilateral triangle of side 8cm?

⇒ AD = √48 = 4√3 cm. Hence, altitude of an equilateral triangle is 4√3 cm.

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What is altitude in triangle?

In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). The length of the altitude, often simply called “the altitude”, is the distance between the extended base and the vertex.

Can a triangle be formed with side lengths of 10 cm 15 cm and 25 cm?

No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

What is the altitude formula?

Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.

What is the length of the altitudes of a triangle?

The length of the altitudes of a triangle are 10, 12 and 15. How long are the sides? 8 clever moves when you have $1,000 in the bank. We’ve put together a list of 8 money apps to get you on the path towards a bright financial future. suppose the triangle is ABC .

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How long is the altitude drawn to the 14 cm side?

SOLUTION: 10. If the sides of a triangle are 13, 14, and 15 cm long, then the altitude drawn to the 14-cm side is 12 cm long. How long are the other two altitudes?

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]

How do you find the hypothenuse of a right triangle?

A right triangle has two sides perpendicular to each other. Sides “a” and “b” are the perpendicular sides and side “c” is the hypothenuse. Enter the length of any two sides and leave the side to be calculated blank. Please check out also the Regular Triangle Calculator and the Irregular Triangle Calculator.

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