progressed Geometry aid » plane Geometry » quadrilateral » Kites » how to uncover the area the a dragon

Which of the adhering to shapes is a kite?     Explanation:

A kite is a four-sided form with directly sides that has two bag of sides. Every pair of nearby sides space equal in length. A square is likewise considered a kite.

You are watching: How to find the area of a kite

Explanation:

The formula for the area of a kite: ,

where represents the length of one diagonal line and represents the length of the various other diagonal.

Plugging in ours values, we get:  Two congruent it is provided triangles through sides of length are linked so that they share a side. Each triangle has actually a elevation of . Express the area of the shape in terms of .

Explanation:

The form being defined is a rhombus with side lengths 1. Because they space equilateral triangles connected by one side, that side i do not care the lesser diagonal, so .

The higher diagonal is double the elevation of the equaliteral triangles, .

The area of a rhombus is fifty percent the product that the diagonals, so: Explanation:

The area of the dragon is provided below. The FOIL an approach will should be provided to simplify the binomial.  Explanation:

The formula for the area for a kite is , where and are the lengths the the kite"s 2 diagonals. Us are provided the size of this diagonals in the problem, for this reason we can substitute them into the formula and solve for the area: Explanation:

Write the formula for the area the a kite. Substitute the diagonals and also reduce. Multiply the parenthetical aspects together by distributing the :   You can think about the outermost portion with in the denominator together multiplying every little thing in the numerator by :   to to develop a typical denominator and add the fractions to come at the correct answer: Explanation:

Write the formula for the area the a kite: Substitute the provided diagonals: Distribute the : Create a typical denominator because that the 2 fractions in the numerator:  You can consider the outermost department by as multiplying everything in the numerator by : Multiply throughout to come at the exactly answer: Explanation:

The formula because that the area the a kite is Plug in the values for each of the diagonals and also solve.

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