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Lemur [1.5K]
3 years ago
10

A triangle has sides of length 7 cm, 4 cm, and 5 cm. How many triangles can be drawn that fit this description?

Mathematics
2 answers:
Ann [662]3 years ago
8 0

Answer: 1

Only one triangle can be drawn to fit the description.

Brums [2.3K]3 years ago
5 0

It's a goofy question.  These sides satisfy the triangle inequality, 7 < 4+5, so we can draw as many triangles as we care to with those sides.

The more interesting question is how many non-congruent triangles can we draw with those sides?   The answer is only 1, because by SSS all triangles with those sides will be congruent.

If we're asking about how many triangles with these sides cannot be mapped to each other through translation and rotation, the answer is two, basically a pair of reflected copies.

So much for deconstructing this lousy question.  Let's go with

Answer: 1

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4 years ago
Read 2 more answers
Find the measures of ∠B and ∠C. PLEASE HELP!!
BartSMP [9]

It's an isosceles triangle, therefore m∠B = m∠C.

We have the equation:

2x + 10 = 3x - 5      <em>subtract 10 from both sides</em>

2x = 3x - 15     <em>subtract 3x from both sides</em>

-x = -15     <em>change the signs</em>

x = 15

m∠B = (2x + 10)°

m∠B = (2 · 15 + 10)° = (30 + 10)° = 40°

We know, the sum of measures of a tringle is equal 180°.

m∠A + m∠B + m∠C = 180°

m∠B = m∠C = 40°

<h3>Answer: ∠B = 40° and ∠C = 40°</h3>
8 0
4 years ago
I know the answer is no solution but I don't know how to get it☹️ plz help!
Crank
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Answer:

d. 50°

Step-by-step explanation:

Since you know one angle and its opposite side, use the law of sines.

sin 36°/11.9 = sin D/15.6

sin D = 15.6 × sin 36° / 11.9

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Answer:

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Step-by-step explanation:

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3 0
3 years ago
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