Quiz on calculating the area of triangles with multiple-choice questions and diagrams.

Let’s solve each question step by step.

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Question 1: How do you find the area of a triangle?

We know that to find the area of a triangle, we multiply the base and the height, then divide by 2.
So it’s base × height ÷ 2.

Looking at the options:
- A: add up all sides → that’s perimeter, not area ✘
- B: base x height ÷ 2 → ✔ correct!
- C: base x height → that’s for rectangles or parallelograms

✔ Correct answer: B

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Question 2: What is the formula for area of a triangle?

The standard formula is:

> Area = (base × height) / 2

In letters:
A = (b × h) / 2

Looking at options:
- A: A = b - h → subtraction? No ✘
- B: A = b x h → missing division by 2 ✘
- C: A = b + h → addition? No ✘
- D: A = (b × h)/2 → ✔ perfect!

✔ Correct answer: D

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Question 3: Find the area of the triangle with sides labeled 3 inches, 4 inches, 5 inches.

Note: The diagram says “*image not drawn to scale*”, but we can see it’s a right triangle because 3-4-5 is a Pythagorean triple (3² + 4² = 9 + 16 = 25 = 5²).

In a right triangle, the two legs are the base and height.

So:
Base = 3 in
Height = 4 in
Area = (3 × 4) / 2 = 12 / 2 = 6 in²

Check options:
- A: 24 in² → too big ✘
- B: 12 in² → forgot to divide by 2 ✘
- C: 6 in² → ✔ correct!
- D: 12 in² → same as B ✘

✔ Correct answer: C

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Question 4: Find the area? Triangle has base 5 in, height 6 in (dashed line), and side 7.5 in (not needed).

Important: In area formulas, we only use base and perpendicular height.

Here:
Base = 5 in
Height = 6 in (the dashed line shows it’s perpendicular — there’s a right angle symbol)

Area = (5 × 6) / 2 = 30 / 2 = 15 in²

Units must be square inches (in²), since it’s area.

Options:
- A: 30 in² → forgot to divide by 2 ✘
- B: 15 in → wrong unit (should be in²) ✘
- C: 30 in → wrong value AND wrong unit ✘
- D: 15 in² → ✔ correct!

✔ Correct answer: D

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Question 5: What is the area of the triangle shown? Base = 4.8 mm, Height = 3.7 mm

Again, use formula: Area = (base × height) / 2

Plug in numbers:
= (4.8 × 3.7) / 2

First, multiply 4.8 × 3.7:

4.8 × 3.7
= (4 × 3.7) + (0.8 × 3.7)
= 14.8 + 2.96
= 17.76

Now divide by 2:
17.76 ÷ 2 = 8.88 mm²

Wait — let me double-check that multiplication:

Alternative way:
4.8 × 3.7
Multiply 48 × 37 = ?

48 × 30 = 1440
48 × 7 = 336
Total = 1440 + 336 = 1776

Since 4.8 has one decimal, 3.7 has one decimal → total 2 decimals → so 17.76 ✔️

Then 17.76 ÷ 2 = 8.88 ✔️

But wait — looking back at the image, the height is labeled as 3.7 mm, and base 4.8 mm. There’s no trick here — just plug into formula.

However, none of the multiple-choice answers are visible for Question 5 in your upload — but since this is a quiz, likely the answer is among choices not shown. But based on calculation, it should be 8.88 mm².

But hold on — maybe I misread? Let me check again.

Actually, in the original image provided, Question 5 does NOT show answer choices — only the triangle with dimensions. So perhaps the user expects us to compute it even without options.

But according to instructions, we’re to provide final answer after reasoning.

Since no options are given for Q5, but the problem asks “What is the area...”, we’ll compute it.

Final computed area: 8.88 mm²

But let me verify once more:

4.8 × 3.7:

Breakdown:
4.8 × 3 = 14.4
4.8 × 0.7 = 3.36
Sum: 14.4 + 3.36 = 17.76
Divide by 2: 8.88 → yes.

Alternatively, use calculator-style:

4.8 * 3.7 = 17.76
17.76 / 2 = 8.88

✔ Confirmed.

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Now, compiling all answers:

Q1: B
Q2: D
Q3: C
Q4: D
Q5: 8.88 mm² (but since no options shown, we state the number)

Wait — actually, rechecking the original image description: For Q5, it says “What is the area of the triangle shown?” and gives base 4.8 mm, height 3.7 mm — and no answer choices listed in the text you pasted. But in the actual Quizizz sheet, there might be options — however, since they’re not included in your input, I will assume we just calculate it.

But note: In many such quizzes, sometimes the height is not clearly marked — but here it is: vertical dashed line from top vertex to base extension, labeled 3.7 mm, and base 4.8 mm — so yes, those are base and height.

One last check: Is the 3.7 mm really the height? Yes — because it’s perpendicular to the base (shown with right-angle mark).

So area = ½ × 4.8 × 3.7 = 8.88 mm²

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Final Answers:

1. B
2. D
3. C
4. D
5. 8.88 mm²

But since the instruction says “Provide only the final correct answer” — and there are 5 questions — I need to list them all.

Also, note: In Q3 and Q4, both had option D as 12 in² and 15 in² respectively — but we chose correctly.

For Q5, since no options, we write the numerical answer.

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Final Answer:
1. B
2. D
3. C
4. D
5. 8.88