Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Triangle question GCSE

ABC is an equilateral triangle
D lies on BC
AD is perpendicular to BC

Prove that triangle ADC is a congruent ( :s-smilie:

:s-smilie:

) to triangle ADB

Two triangles are "congruent" if you can stretch one of them, rotate it, reflect it or translate it (as long as you keep all the sides in proportion) to get to the other triangle. So for example any two equilateral triangles are congruent.

Here, you're told that D lies on BC and AD is perpendicular to BC; you therefore know that the angles

A\hat{D}B

and

A\hat{D}C

are right-angles. Draw a diagram. What do you notice about the triangles ADB and ADC?

Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in size.

RHS

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