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If the second Tuesday of a month is the 7th, what day of the week is the 21st of that month?

March 18, 2026Mathematics

ScanSolve AI Answer

Answer

6\ \text{cm}

5 steps

Identify the right triangle and the Pythagoras theorem.
Triangle ABC is right-angled at C, with hypotenuse AB.
$AB^{2} = AC^{2} + BC^{2}$
Substitute the given lengths.
AB = 10 cm, AC = 8 cm.
$(10\ \text{cm})^{2} = (8\ \text{cm})^{2} + BC^{2}$
Calculate the squares.
$100\ \text{cm}^{2} = 64\ \text{cm}^{2} + BC^{2}$
Isolate $BC^{2}$ .
$BC^{2} = 100\ \text{cm}^{2} - 64\ \text{cm}^{2}$ $BC^{2} = 36\ \text{cm}^{2}$
Take the square root (positive length).
$BC = \sqrt{36\ \text{cm}^{2}}$ $BC = 6\ \text{cm}$
6\ cm

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