Math  /  Geometry

Question1)

Studdy Solution

STEP 1

What is this asking? We need to find the area of a triangle with a given base and height! Watch out! Don't forget that the area of a triangle is *half* of the base times height, not just base times height.
That's a classic mix-up!

STEP 2

1. Set up the formula
2. Plug in the values
3. Calculate the area

STEP 3

Alright, let's **kick things off** with the formula for the area of a triangle.
It's super straightforward: Area = 12baseheight\frac{1}{2} \cdot \text{base} \cdot \text{height}.
Remember, we're multiplying the base and height, and then taking *half* of that.
Why half?
Because a triangle is like half of a rectangle or parallelogram!

STEP 4

Now, let's **plug in** what we know!
We're given that the **base** is 12.312.3 and the **height** is 1313.
So, our formula becomes: Area = 1212.313\frac{1}{2} \cdot 12.3 \cdot 13.
See? Just **substituting** those values right into the formula.

STEP 5

Time to **crunch some numbers**!
First, let's multiply 12.312.3 and 1313. 12.313=159.912.3 \cdot 13 = 159.9.
Great! Now we have Area = 12159.9\frac{1}{2} \cdot 159.9.

STEP 6

Now, let's **divide** 159.9159.9 by 22 (which is the same as multiplying by one-half). 159.9÷2=79.95159.9 \div 2 = 79.95.
And there we have it!

STEP 7

The area of the triangle is **79.9579.95 square units**!
Don't forget those units; they're important!

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