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Here is a pyramid with a square base ABCD - Edexcel - GCSE Maths - Question 13 - 2018 - Paper 3

Question 13

Here is a pyramid with a square base ABCD. AB = 5 m The vertex T is 12 m vertically above the midpoint of AC. Calculate the size of angle TAC.

Worked Solution & Example Answer:Here is a pyramid with a square base ABCD - Edexcel - GCSE Maths - Question 13 - 2018 - Paper 3

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Answer

The coordinates of A and C can be expressed as follows:

The midpoint M of AC can be calculated using:

$M = \left( \frac{x_A + x_C}{2}, \frac{y_A + y_C}{2}, z_A \right) = \left( \frac{0 + 5}{2}, \frac{0 + 5}{2}, 0 \right) = \left( 2.5, 2.5, 0 \right)$

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