AM-211

Surds and rationalising

A Math · Secondary 3 · Hard · Surds and rationalising

A right-angled triangle has base

(5+\sqrt{3})\,\text{cm}

and area

(10\sqrt{3}-5)\,\text{cm}^2

. Find the height of the triangle, giving your answer in the form

(a\sqrt{3}+b)\,\text{cm}

, where

a

and

b

are integers.

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