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hammer [34]
3 years ago
6

Abc~xyz with ab=16 and xy=24 if the length of the median of the smaller triangle is 6in how long is the corresponding median of

the larger triangle ? (show your work)
Mathematics
1 answer:
Zigmanuir [339]3 years ago
7 0

Answer:

9 inches

Step-by-step explanation:

Since the triangle are similar then the ratios of corresponding sides are equal

let x be the longer median, then

\frac{16}{24} = \frac{6}{x} ( cross- multiply )

16x = 6 × 24 = 144 ( divide both sides by 16 )

x = 9



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Pani-rosa [81]

Answer:

a. m<B = 100°

b. m<L = 55°

c. Scale factor = 9/11

Step-by-step explanation:

a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.

Since ∆ABC ~ ∆GLJ, therefore,

<A = <G,

<B = <J

<C = <L

m<J = 100° (given)

Therefore,

m<B = m<J = 100°

m<B = 100°

b) m<A = m<G

m<A = 25° (given)

Therefore,

m<A = m<G = 25°

m<G = 25°

m<L = 180° - (m<J + m<G)

Substitute

m<L = 180° - (100° + 25°)

m<L = 55°

c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle

Scale factor = AB/GJ

Substitute

Scale factor = 18/22

Simplify

Scale factor = 9/11

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