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2 answers:
Answer:
3/2
Step-by-step explanation:
Since the shape is an equilateral triangle, all the angles are equal measure, 60° and all the sides are also of equal measure that was given, root3. So half of the triangle has length (root3)/2. The perpendicular drawn in the interior is also an angle bisector. The triangles created are 30°-60°-90° triangles. The sides of this special right triangle are in the ratio
s : 2s : sroot3
The longest side of the 30-60-90 triangle is given. The shortest side is half the length of the longest side. The length of the long leg is the short leg × root3
In this diagram the short leg is (root3)/2 .
(root3)/2 × root3 = 3/2
See image.
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The width and height of Talia's Scale drawing are :
- Width = 4.35 in
- Height = 5.7 in
We can obtain the actual length of the side of the house from Mike's drawing :
- Mike's scale = 3 ft to 1 in
Actual measurements:
- Scale ratio × model drawing
- Height, h = 9.5 × 3 = 28.5 feets
- Width, w = 7.25 × 3 = 21.75 feets
Measurement of Talia's Scale drawing :
- Talia's scale = 5 ft to 1 in
- Actual measurement ÷ scale
- Height = 28.5 ÷ 5 = 5.7 in
- Width = 21.75 ÷ 5 = 4.35 in
The width and height of Talia's scale drawing are 5.7 and 4.35 respectively.
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