Measurement, NAPX-F4-NC32 SA

Question

Triangles ABCABC and ADEADE are similar.



What is the distance from AA to DD?

Worked Solution

Triangles ABCABC and ADEADE are similar.

Since corresponding sides are in the same ratio:

--------:
ADAE\dfrac{AD}{AE} = ABAC\dfrac{AB}{AC}
AD6\dfrac{AD}{6} = 129\dfrac{12}{9}
∴AD\therefore AD = 12×69\dfrac{12 \times 6}{9}
= {{{correctAnswer0}}} {{{suffix0}}}

Variant 0

DifficultyLevel

780

Question

Triangles ABCABC and ADEADE are similar.



What is the distance from AA to DD?

Worked Solution

Triangles ABCABC and ADEADE are similar.

Since corresponding sides are in the same ratio:

--------:
ADAE\dfrac{AD}{AE} = ABAC\dfrac{AB}{AC}
AD6\dfrac{AD}{6} = 129\dfrac{12}{9}
∴AD\therefore AD = 12×69\dfrac{12 \times 6}{9}
= 8 metres

Question Type

Answer Box

Variables

Variable nameVariable value
correctAnswer0
8
prefix0
suffix0
metres

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer08

metres

Tags