FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Height of Isosceles Triangle from Vertex Formula

Fx Copy

LaTeX Copy

The Height of Isosceles Triangle is the perpendicular distance from the base of the triangle to the opposite vertex. Check FAQs

h = \sqrt{{S Legs}^{2} - \frac{{S Base}^{2}}{4}}

h - Height of Isosceles Triangle?S_Legs - Legs of Isosceles Triangle?S_Base - Base of Isosceles Triangle?

Height of Isosceles Triangle from Vertex Example

With values

With units

Only example

Here is how the Height of Isosceles Triangle from Vertex equation looks like with Values.

Here is how the Height of Isosceles Triangle from Vertex equation looks like with Units.

Here is how the Height of Isosceles Triangle from Vertex equation looks like.

8.4853 = \sqrt{9^{2} - \frac{6^{2}}{4}}

8.4853m = \sqrt{{9m}^{2} - \frac{{6m}^{2}}{4}}

8.4853 = \sqrt{9^{2} - \frac{6^{2}}{4}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Height of Isosceles Triangle from Vertex

Height of Isosceles Triangle from Vertex Solution

Follow our step by step solution on how to calculate Height of Isosceles Triangle from Vertex?

FIRST Step Consider the formula

h = \sqrt{{S Legs}^{2} - \frac{{S Base}^{2}}{4}}

Next Step Substitute values of Variables

∴

h = \sqrt{{9m}^{2} - \frac{{6m}^{2}}{4}}

Next Step Prepare to Evaluate

∴

h = \sqrt{9^{2} - \frac{6^{2}}{4}}

Next Step Evaluate

∴

h = 8.48528137423857m

LAST Step Rounding Answer

∴

h = 8.4853m

Height of Isosceles Triangle from Vertex Formula Elements

Variables

Functions

Height of Isosceles Triangle

The Height of Isosceles Triangle is the perpendicular distance from the base of the triangle to the opposite vertex.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Isosceles Triangle

Legs of Isosceles Triangle

The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle.

Symbol: S_Legs

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Legs of Isosceles Triangle

Base of Isosceles Triangle

Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.

Symbol: S_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base of Isosceles Triangle

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Height and Median of Isosceles Triangle category

Go Angles of Bisector of Isosceles Triangle at Vertex

∠ Bisector = \frac{∠ Vertex}{2}

Go Base Angles of Isosceles Triangle given Vertex Angle

∠ Base = \frac{π - ∠ Vertex}{2}

Go Base of Isosceles Triangle given Legs and Circumradius

S Base = \sqrt{4 \cdot {S Legs}^{2} - \frac{{S Legs}^{4}}{{r c}^{2}}}

Go Length of Angle Bisector of Angle between Legs and Base

l Angle Bisector = S Base \cdot \frac{\sqrt{S Legs \cdot (2 \cdot S Legs + S Base)}}{S Legs + S Base}

How to Evaluate Height of Isosceles Triangle from Vertex?

Height of Isosceles Triangle from Vertex evaluator uses Height of Isosceles Triangle = sqrt(Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2/4) to evaluate the Height of Isosceles Triangle, The Height of Isosceles Triangle from Vertex formula is defined as the perpendicular distance from the base to the opposite vertex of the Isosceles Triangle. Height of Isosceles Triangle is denoted by h symbol.

How to evaluate Height of Isosceles Triangle from Vertex using this online evaluator? To use this online evaluator for Height of Isosceles Triangle from Vertex, enter Legs of Isosceles Triangle (S_Legs) & Base of Isosceles Triangle (S_Base) and hit the calculate button.

FAQs on Height of Isosceles Triangle from Vertex

What is the formula to find Height of Isosceles Triangle from Vertex?

The formula of Height of Isosceles Triangle from Vertex is expressed as Height of Isosceles Triangle = sqrt(Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2/4). Here is an example- 8.485281 = sqrt(9^2-6^2/4).

How to calculate Height of Isosceles Triangle from Vertex?

With Legs of Isosceles Triangle (S_Legs) & Base of Isosceles Triangle (S_Base) we can find Height of Isosceles Triangle from Vertex using the formula - Height of Isosceles Triangle = sqrt(Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2/4). This formula also uses Square Root (sqrt) function(s).

Can the Height of Isosceles Triangle from Vertex be negative?

No, the Height of Isosceles Triangle from Vertex, measured in Length cannot be negative.

Which unit is used to measure Height of Isosceles Triangle from Vertex?

Height of Isosceles Triangle from Vertex is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Isosceles Triangle from Vertex can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Height of Isosceles Triangle from Vertex Formula

Height of Isosceles Triangle from Vertex Example

Height of Isosceles Triangle from Vertex Solution

Height of Isosceles Triangle from Vertex Formula Elements

Other formulas in Height and Median of Isosceles Triangle category

How to Evaluate Height of Isosceles Triangle from Vertex?

FAQs on Height of Isosceles Triangle from Vertex

Variable Name