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4 years ago

Tell whether it is possible to draw a triangle with the given side lengths.

Mathematics

1 answer:

expeople1 [14]4 years ago

4 0

Answer:

Step-by-step explanation:

Since the 2 shorter sides are greater than the longest side when added, it meet the triangle inequality thoerem. Triangle Inequality Theorom: The longest side of a triangle is less then the 2 shorter sides added.

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4 years ago

7) Line Segment PR is 5 ft. Find the length of Line Segment PQ and QR. (Hint: use the segment addition postulate.)

Ghella [55]

Answer:

PQ = 1 ft

QR = 4 ft

Step-by-step explanation:

From the picture attached,

Segment PR has been divided into two parts by a point Q.

Length of segment PR = 5 feet

Length of segment PQ = (15x - 2) ft

Length of segment QR = (5x + 3) ft

Since, PR = PQ + QR

5 = (15x - 2) + (5x + 3)

5 = 20x + 1

20x = 4

x = $\frac{4}{20}$

x = 0.2

PQ = 15x - 2

= 15(0.2) - 2

= 3 - 2

= 1 ft

QR = 5x + 3

= 5(0.2) + 3

= 1 + 3

= 4 ft

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3 years ago