Triangle Homework

Triangles are polygons with 3 sides and 3 angles which always add up to 180°. Types of triangles may be classified by their sides, by their angles or by a combination of both sides and angles.

The table below shows the classification of triangles:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Based on combination of sides and angles, below triangles are formed

Right Isosceles Triangle – Triangle has one right angle and two equal sides

Acute Scalene Triangle – Triangle has no equal sides and only acute angles

Obtuse Isosceles Triangle – Triangle has one obtuse angle and two equal sides

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Area and Perimeter of Triangle

Perimeter of Triangle: Standard

Add up the lengths of all the sides and find the perimeter of a triangle.

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Perimeter of Triangle: Congruent Properties

Find the perimeter with the given measures and congruent sides.

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Area of Triangle: Base and Height

Using the formula A = 1/2 * base * height, find the area of each triangle. Challenging worksheet requires unit conversion.

Easy:

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Moderate:

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Difficult:

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Challenging:

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Area of an Equilateral Triangle

Use the formula A = sqrt(3)/4 * a2, where 'a' refers to length of the side. Each worksheet has 9 problems finding area of an equilateral triangle.

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Area of an Isosceles Triangle

Find the height using Pythagorean theorem, and then apply the standard formula to find the area of each isosceles triangle.

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Area of Scalene Triangle

Apply Heron's formula (also called Hero's formula) to find the area of each scalene triangle. Round the answer to 2 decimal places.

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Missing base or height

To find the base, B = 2A / H. To find the height, H = 2A / B. Applying this technique, find the missing side for each triangle.

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Advanced Triangle Worksheets

Relation between Sides and Angles

Each worksheet has 2 sections. In first section, find the largest and smallest angle with known sides. In second section, find the longest and smallest side for each triangle with known angles.

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Triangle Inequality Theorem

Apply triangle inequality theorem and identify whether the triangle is possible or not possible with the given sides.

Sheet 1 | Sheet 2 | Sheet 3

Finding Centroid

Each worksheet has 9 problems finding centroid of each triangle with coordinates at vertices.

Sheet 1 | Sheet 2 | Sheet 3

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