Calculate the perpendicular height of the isosceles triangle below, giving your answer correct to one decimal place. (2 marks)
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\(\text{Pythagoras’ Theorem states: }a^2+b^2=c^2\)
\(\text{Let }b=3\ \text{and }c=7.5\)
| \(a^2+3^2\) | \(=7.5^2\) |
| \(a^2\) | \(=7.5^2-3^2\) |
| \(a^2\) | \(=47.25\) |
| \(a\) | \(=\sqrt{46.01}\) |
| \(a\) | \(=6.873\dots\approx 6.9\ (1\text{ d.p.})\) |