INTRO

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When we’re asked to find the area of a triangle, what we’re looking for is the amount of space inside the sides of our triangle.

$A=2bh $

The formula is pretty straightforward, but correctly identifying the base and the height of the triangle can sometimes be tricky. That’s why we like to imagine triangles as mountains!

$b$

$h$

$b$

$h$

### Type of Triangle:

We can imagine the triangle as a mountain where the base is flat (⬌), and the height is a vertical line that connects the base to the peak (⬍).

CALCULATOR

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## Area of Triangles Calculator

What does your triangle look like?

$b=$

$h=$

KEY STEPS

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## How to Find the Area of a Triangle

### Step 1. Identify the base and height of the triangle.

### Step 2. Multiply the base by the height.

### Step 3. Divide by 2.

We divide by 2 because the area of a right triangle is equal to ½ the area of a rectangle$(A=l×w=b×h)$made up of two right triangles with the same base and height.

LESSON

— Right Triangles

## Right Triangles

The area of a right triangle is equal to $21 $ the area of a rectangle made up of two right triangles with the same base and height:

$Area of triangle =2Area of rectangle =2bh $Let's do some practice problems!

PRACTICE

— Right Triangles

## Practice: Area of Right Triangles

Question 1 of 3: Find the area of this triangle ⬇️

$3$

$4$

$5$

### Step 1. Identify the base and height of the triangle.

LESSON

— Acute Triangles

## Acute Triangles

The area of an acute triangle is equal to $21 $ the area of a parallelogram made up of two acute triangles with the same base and height:

$Area of triangle =2Area of parallelogram =2bh $PRACTICE

— Acute Triangles

## Practice: Area of Acute Triangles

Question 1 of 3: Find the area of this triangle ⬇️

$4$

$5$

$9$

$12$

### Step 1. Identify the base and height of the triangle.

LESSON

— Obtuse Triangles

## Obtuse Triangles

The area of an obtuse triangle is equal to $21 $ the area of a parallelogram made up of two obtuse triangles with the same base and height:

$Area of triangle =2Area of parallelogram =2bh $PRACTICE

— Obtuse Triangles

## Practice: Area of Obtuse Triangles

Question 1 of 3: Find the area of this triangle ⬇️

$4$

$7$

$11$

$9$

### Step 1. Identify the base and height of the triangle.

CONCLUSION

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Amazing work, look at you go! Thanks for checking out this lesson ☺️🙏. Where to next?

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