Using the given triangle, calculate the height and base of a triangle with scale factor $4$ .

b = 45, h = 24

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b = 60, h = 24

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b = 60, h = 32

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b = 45, h = 32

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Solution

The correct option is C $b = 60, h = 32$
The dimensions of the given triangle is

Base $b = 15 c m$ , Height $h = 8 c m$

Scale factor $= 4$

Therefore, the dimensions of the new triangle will be
$b = 4 \times 15 c m$ and $h = 4 \times 8 c m$

$b = 60 c m$ and $h = 32 c m$

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Similar questions

Given that

Triangle 1: 3 cm, 3 cm, 4 cm

Triangle 2: 6 cm, 6 cm, 8 cm

Triangle 3: 12 cm, 12 cm, 16 cm

Triangle 4: 24 cm, 24 cm, 32 cm

If Triangle 1 is the original triangle, what scale factor is used to generate Triangle 2, Triangle 3, and Triangle 4 from Triangle 1?

Given that

Triangle 1: 3 cm, 3 cm, 4 cm

Triangle 2: 6 cm, 6 cm, 8 cm

Triangle 3: 12 cm, 12 cm, 16 cm

Triangle 4: 24 cm, 24 cm, 32 cm

Find the scale factor used to enlarge Triangle 1 to get Triangle 2, Triangle 3, and Triangle 4.

Q. Construct a dilation, with scale factor 2, of a triangle using only a ruler and compasses.

The triangle PQR is reduced to form triangle STU. Calculate the scale factor.

Question 3
Draw a $Δ$ ABC in which BC= 6cm, CA = 5 cm and AB= 4 cm .Construct a triangle similar to it and of scale factor = $\frac{5}{3}$ .
Thinking process
Here, scale factor = $\frac{m}{n} = \frac{5}{3}$ i.e m > n then the triangle to be construction is larger than the given through use this concept and then constant the required triangle.

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Using the given triangle, calculate the height and base of a triangle with scale factor 4.

The correct option is C b=60,h=32 The dimensions of the given triangle is Base b=15 cm, Height h=8 cm Scale factor =4 Therefore, the dimensions of the new triangle will be b=4×15 cm and h=4×8 cm b=60 cm and h=32 cm

Using the given triangle, calculate the height and base of a triangle with scale factor $4$ .

The correct option is C $b = 60, h = 32$
The dimensions of the given triangle is

Base $b = 15 c m$ , Height $h = 8 c m$

Scale factor $= 4$

Therefore, the dimensions of the new triangle will be
$b = 4 \times 15 c m$ and $h = 4 \times 8 c m$

$b = 60 c m$ and $h = 32 c m$