QQuestionMathematics
QuestionMathematics
the diagram shows a triangle.
all the measurements are in cm
the perimeter of the triangle is 70cm
the area of the triangle is Acm squared
work out the value of A
# Easurements are
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Answer
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Step 1:I'll solve this step by step using the given measurements and LaTeX formatting.
Step 2:: Identify the given measurements
- Side 3: $$25 \text{ cm}
From the diagram, the triangle sides are:
Step 3:: Verify the perimeter
20 + 25 + 25 = 70 \text{ cm}
This confirms the given perimeter of 70 cm.
Step 4:: Calculate the area using Heron's formula
Where $$a = 20, b = 25, c = 25
s = \frac{20 + 25 + 25}{2} = \frac{70}{2} = 35 \text{ cm} Then use Heron's formula:
Step 5:: Plug in the values
A = 229.13 \text{ cm}^{2}
A = \sqrt{35 \cdot 15 \cdot 10 \cdot 10}
Final Answer
A = 229 \text{ cm}^{2} (rounded to nearest whole number)
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