Area Calculation of a Toy Airplane Fin
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CCSS Support Math I Unit 6
This example demonstrates the shape of a toy airplane fin as an obtuse triangle and calculates its area to understand the formula for calculating the area of a triangle. Key mathematical concepts include the area formula of a triangle. The construction summary uses GeoGebra commands such as Circle, Point, Segment, Intersect, etc. Suitable for middle school and above students to learn the calculation of triangle area.
GeoGebra Commands & Parameters
LaTeX("\text{Identify the measurements that are needed to find the area.}") → text1_2LaTeX("\text{base and the height are needed.}") → text1_4LaTeX("\text{Find the area of the fin.}") → text1_7LaTeX("\text{ \textcolor{#000099}{A=\frac{1}{2}bh}}") → text1_9LaTeX("\text{The formula for finding the area of a triangle is \textcolor{#000099}{Area =\frac{1}{2}base\; •\; height }}") → text1_8LaTeX("\text{Area formula for a triangle}") → text1_{11}LaTeX("\text{Simplify.}") → text1_{15}LaTeX("\text{of \textcolor{#000099}{2} after the unit.}") → text1_{17}Circle(A, a) → cPoint(c) → BSegment(A, B) → b_1Circle(A, b) → dOrthogonalLine(C, b_1) → eIntersect(d, e, 2) → DSegment(A, D) → fSegment(D, B) → hSegment(D, C) → iFitLineY({C, A}) → gSegment(C, A) → jIntersect(g, i) → EIntersect(g, b_1) → FIntersect(g, b_1) → GSegment(H, I) → kPoint(j) → JSegment(I, J) → lSegment(H, C) → mSegment(J, C) → nPoint(b_1) → KOrthogonalLine(K, b_1) → pIntersect(b_1, p) → OPoint(b_1) → LFitLineY({L, M}) → qOrthogonalLine(M, q) → sIntersect(p, s) → NSegment(K, N) → rSegment(L, M) → tSegment(K, N) → a_1Segment(M, N) → c_1LaTeX((((("\text{ \textcolor{#000099}{A=\frac{1}{2}(" * a1) * ")(") * b1) * ")}}")) → text1_{12}LaTeX((("\text{ \textcolor{#000099}{A=" * sol) * "}}")) → text1_{13}LaTeX((("\text{The area of the toy airplane’s fin is \textcolor{#000099}{" * sol) * "} square centimeters.}")) → text1_{18}LaTeX((((("\text{Substitute \textcolor{#000099}{" * a1) * "} for \textcolor{#000099}{b} and \textcolor{#000099}{") * b1) * "} for \textcolor{#000099}{h}.}")) → text1_{14}LaTeX("\text{\mathbf{Area} the amount of space inside the boundary of a two-dimensional figure.}") → text5LaTeX("\text{\mathbf{Obtuse \;angle} an angle measuring greater than 90° but less than 180°.}") → text5_1LaTeX((((("\text{or \textcolor{#000099}{ A=\frac{1}{2}bh}.Substitute \textcolor{#000099}{" * a1) * "} for the base and \textcolor{#000099}{") * b1) * "} for the height.}")) → text1_{10}LaTeX((("\text{vertical dashed line of the right triangle,is \textcolor{#000099}{" * b1) * "} centimeters.}")) → text1_6LaTeX("\text{Recall that area is given in square units,indicated by an exponent}") → text1_{16}LaTeX("\text{The fin is a triangle.To find the area of a triangle,the length of the}") → text1_3LaTeX((("\text{The base of the fin is \textcolor{#000099}{" * a1) * "} centimeters and the height,as noted by the}")) → text1_5LaTeX("\text{}") → text1_1LaTeX("\text{The fin on a toy airplane is in the shape of an obtuse triangle, as shown in the diagram. What is the area of the fin?}") → text1