Points $A,B,D$ are collinear, with $AB=36$ cm and $BD=27$ cm. Also $CD\perp AD$, $BC=45$ c

Question

Points $A,B,D$ are collinear, with $AB=36$ cm and $BD=27$ cm. Also $CD\perp AD$, $BC=45$ cm, and $E$ lies on $AC$ with $BE\perp AC$. Find $\angle ABC$, the area of $\triangle ABC$, $BE$. Give non-exact lengths, areas and other numerical values to 3 significant figures, and angles to 1 decimal place, unless otherwise stated.

Accepted Answer

(a) $126.9^\circ$; (b) $648\text{ cm}^2$; (c) $17.9$ cm.

A triangle with two perpendiculars

A triangle with two perpendiculars

Solution:

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