# 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

SchoolTutoring Academy is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students, visit: SchoolTutoring Academy.

## Area and Perimeter of Triangle

Perimeter of Triangle: Standard

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

Sheet 1 | Sheet 2 | Sheet 3

Perimeter of Triangle: Congruent Properties

Find the perimeter with the given measures and congruent sides.

Sheet 1 | Sheet 2 | Sheet 3

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:

Sheet 1 | Sheet 2 | Sheet 3 | Grab 'em All

Moderate:

Sheet 1 | Sheet 2 | Sheet 3 | Grab 'em All

Difficult:

Sheet 1 | Sheet 2 | Sheet 3 | Grab 'em All

Challenging:

Sheet 1 | Sheet 2 | Sheet 3 | Grab 'em All

Area of an Equilateral Triangle

Use the formula A = sqrt(3)/4 * a^{2}, where 'a' refers to length of the side. Each worksheet has 9 problems finding area of an equilateral triangle.

Sheet 1 | Sheet 2 | Sheet 3

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.

Sheet 1 | Sheet 2 | Sheet 3

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.

Sheet 1 | Sheet 2 | Sheet 3

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.

Sheet 1 | Sheet 2 | Sheet 3

## 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.

Sheet 1 | Sheet 2 | Sheet 3

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

## 0 thoughts on “Triangle Homework”

-->