Sage-Tips

How do you find the base and height of a triangle when given the hypotenuse?

A right angle triangle with fixed hypotenuse attains maximum area, when it is isosceles i.e. both height and base becomes equal so if hypotenuse if H, then by pythagorean theorem, Base2 + Height2 = H2 For maximum area both base and height should be equal, b2 + b2 = H2 b = sqrt(H2/2) Above is the length of base at which …

What formula do you use to find the base and height of a triangle?

Well-known equation for area of a triangle may be transformed into formula for altitude of a right triangle: area = b * h / 2 , where b is a base, h – height. so h = 2 * area / b.

How do you find the height of a triangle when given the cosine?

Plug your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!

How do you solve for height in physics?

h = v 0 y 2 2 g . h = v 0 y 2 2 g . This equation defines the maximum height of a projectile above its launch position and it depends only on the vertical component of the initial velocity.

How do you find the height of an object using the angle of elevation?

Or a mountain, tree, tower, etc. The height of an object is calculated by measuring the distance from the object and the angle of elevation of the top of the object. The tangent of the angle is the object height divided by the distance from the object. Thus, the height is found.

How do you use cosine and sine to find angles?

The cosine rule can find a side from 2 sides and the included angle, or an angle from 3 sides. The trigonometric ratios sine, cosine and tangent are used to calculate angles and sides in right angled triangles. We are now going to extend trigonometry beyond right angled triangles and use it to solve problems involving any triangle.

How do you find the sides of a triangle with sine?

Using the sine and cosine rules to find a side or angle in a triangle The sine rule can be used to find an angle from 3 sides and an angle, or a side from 3 angles and a side. The cosine rule can find a side from 2 sides and the included angle, or an angle from 3 sides.

What are the base and height of a triangle?

The base and height are the two adjacent sides to the right angle. The hypotenuse is the side opposite the right angle and is the longest of the three. In geometry, we often need to find the area of a triangle. We can only find the area of the triangle when we know two of the side lengths.

How do you find the hypotenuse of a triangle?

The equation goes as follows: a ² + b ² = c ² Variables a and b represent the base and height of the triangle and variable c represents the hypotenuse. In this example, the shorter lengths of the triangle (the base and height) are on the left side of the equation whereas the longest side (the hypotenuse) is on the right side.