AM-541

Surds and rationalising

A Math · Secondary 3 · Hard · Surds and rationalising

A triangle has base

(5+2\sqrt{2})\,\text{cm}

and area

(9+6\sqrt{2})\,\text{cm}^2

. Without using a calculator, find the height of the triangle in the form

m+n\sqrt{2}

cm, where

m

and

n

are integers.

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