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These two triangles are mathematically similar - OCR - GCSE Maths - Question 17 - 2021 - Paper 1

Question 17

These two triangles are mathematically similar. Triangle A: - Side opposite 20° = 15 cm - Side adjacent to 20° = 20 cm Triangle B: - Side opposite 20° = x cm - Sid... show full transcript

Worked Solution & Example Answer:These two triangles are mathematically similar - OCR - GCSE Maths - Question 17 - 2021 - Paper 1

Step 1

Using the properties of similar triangles

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Answer

Since the triangles are similar, the ratios of the corresponding sides are equal. We can set up the ratio as follows:

$\frac{15}{x} = \frac{20}{32}$

Cross-multiply to solve for x:

$15 \cdot 32 = 20 \cdot x$

This simplifies to:

$480 = 20x$

Dividing both sides by 20 gives:

$x = \frac{480}{20} = 24$

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