How to Solve Triangles Problems? (+FREE Worksheet!)
Learn how to solve mathematics problems related to triangles area and angles using common triangle formulas.

Related Topics
- How Calculate the Area of Trapezoids
- How to Find the volume and surface area of Rectangular Prisms
- How to Find the Area and Circumference of Circles
- How to Find Volume and Surface Area of Cubes
- How to Find the Perimeter of Polygons
Step by step guide to solve Triangles
- In any triangle the sum of all angles is \(180\) degrees.
- Area of a triangle \(= \color{blue}{\frac{1}{2 }(base \ × \ height)}\)
Triangles – Example 1:
What is the area of the following triangle?
Solution:
Use the are formula: Area \(= \color{blue}{\frac{1}{2 }(base \ × \ height)}\)
base \(=10\) and height \(=6\)
Area \(= \frac{1}{2} (10×6)=\frac{1}{2} (60)=30\)
Triangles – Example 2:
What is the missing angle of the following triangle?

Solution:
All angles in a triangle sum up to \(180\) degrees. Then: : \(45+60+x=180 → 105+x=180 → x=180-105=75\)
Triangles – Example 3:
What is the area of the following triangle?

Solution:
Use the are formula: Area \(= \color{blue}{\frac{1}{2 }(base \ × \ height)}\)
base \(=12\) and height \(=8\)
Area \(= \frac{1}{2} (12×8)= \frac{1}{2} (96)=48 \)
Triangles – Example 4:
What is the area of a triangle with base \(6\) and height \(5\)?
Solution:
Use the are formula: Area \(= \color{blue}{\frac{1}{2 }(base \ × \ height)}\)
base \(=6\) and height \(=5\)
Area \(= \frac{1}{2 } (5×6)= \frac{1}{2} (30)=15 \)
Exercises for Solving Triangles
Find the measure of the unknown angle in each triangle.
Download Triangles Worksheet

- \(\color{blue}{45^{\circ}}\)
- \( \color{blue}{ 15^{\circ}}\)
- \( \color{blue}{ 40^{\circ}}\)
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