# What are we learning ?

**Competency in Focus:**Area of triangles This problem from American Mathematics contest (AMC 10A, 2013) is based on calculation of area of triangles .

# First look at the knowledge graph.

# Next understand the problem

Square has side length . Point is on , and the area of is . What is ?

##### Source of the problem

American Mathematical Contest 2013, AMC 10A Problem 3

##### Key Competency

Area of triangles

##### Difficulty Level

4/10

##### Suggested Book

Challenges and Thrills in Pre College Mathematics Excursion Of Mathematics

# Start with hints

Do you really need a hint? Try it first!

Given Square has side length . So, .

Now, we know area of a triangle =\( \frac{(height).(base)}{2} \). Try to use this here .

So , we have the area of is equal to . Plugging in , what we get ?

we get . Dividing, we find that

# Connected Program at Cheenta

#### Amc 8 Master class

Cheenta AMC Training Camp consists of live group and one on one classes, 24/7 doubt clearing and continuous problem solving streams.