Isosceles Triangle Calculator

Determine Angle Measurements



Calculate Perimeter





Calculate Area





Formulas

The formulas used in the calculations are:

Determine Angle Measurements:

\[ 2a + b = 180 \]

Perimeter:

\[ \text{Perimeter} = 2A + B \]

Area:

\[ \text{Area} = \frac{1}{2} B \times H \]

Description

An isosceles triangle is identified by two equal base angles and two opposing sides of equal length. Knowing one angle measurement allows you to determine the other angles using the formula \( 2a + b = 180 \). The perimeter is found using \( \text{Perimeter} = 2A + B \). The area is calculated using the formula \( \text{Area} = \frac{1}{2} B \times H \).

Example Calculations

Determine Angle Measurements:

Calculate angle a:

\[ 2a + 90 = 180 \implies 2a = 90 \implies a = 45 \text{ degrees} \]

Calculate Perimeter:

\[ \text{Perimeter} = 2(6) + 4 = 16 \text{ units} \]

Calculate Area:

\[ \text{Area} = \frac{1}{2} \times 8 \times 26 = 104 \text{ cm}^2 \]