In these worksheets, students will learn to find the areas of angles using trigonometry.

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There are different types of triangles that you will come across in the world. These include equilateral, isosceles, scalene, and right triangles. The equilateral triangles are the ones that have three equal sides and three equal angles, each of 60°. Isosceles triangles are those which have two equal sides and two equal angles. Scalene is where all three sides and angles are different, and right triangles are the ones where one angle is equal to 90°. To find the area of a right-triangle we use the general formula; Area of triangle = 1/2 × base × height To find the area of non-right triangles, we use the following formula; Area of triangle= 1/2 × side 1 × side 2 × sin⁡ (angle opposite to third side).

In these worksheets, students will use the formula provided for the area of a triangle to find the area of the triangles provided using trigonometry. Most problems are presented as word problems. Extra paper will be required in order for students to have room to do their work. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, a review, and a quiz. It also includes ample worksheets for students to practice independently. When finished with this set of worksheets, students will be able to use the formula for the area of a triangle to find the area. These worksheets explain how to find the areas of triangles using trigonometry. Sample problems are solved and practice problems are provided.



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Area of Triangle Using Trigonometry Worksheets

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Area of a Triangle Using Trigonometry Lesson

This worksheet explains how to solve the exercise: Given the triangle at the right BC = 24, AC = 8 and ∠C=74 find its area. Express the area rounded to three decimal places.

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Worksheet

You will tackle problems like: In an isosceles Δ, the two equal sides each measure 18 meters, and they include an angle of 22°. Find the area of the isosceles triangle, to the nearest sq. meter.

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Practice

You will tackle word problems like: In a rhombus, each side is 26, and one angle is 126°. Find the area of the rhombus, to the nearest square unit.

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Review

In ΔPQR, PQ = 24 meters and PR = 24 meters. If the area of the triangle is 64 sq. meters, find the measure of

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Quiz

This quiz will help you understand where you stand with this skill. Example problem: In an isosceles Δ, the two equal sides each measure 17 meters, and they include an angle of 34°. Find the area of the isosceles triangle, to the nearest sq. meter.

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Check

Students will find the areas of triangles using various techniques that we adapt from trigonometry. Three problems are provided, and space is included for students to copy the correct answer when given.

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