Mathematics, 03.10.2019 06:00 hbbarr2702

The lengths of two sides of a triangle are 10 inches and 4 inches. which of the following dimensions is the third side of this triangle? (5 points)

4 inches

5 inches

6 inches

7 inches
answer ill fan and medal

Answers: 2

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The third side of a triangle not can being greater than the sum of the length of the other two sides
- The sum of the lengths of any two sides of a triangle must be greater than the third side.

so than given 10 in and 4 in so the sum is equal 14 in from what result that the 3rd side not can being longer than 14 in
so from given choices may be right just 7 inches bc. than we calcule it for choice of 6 inches so than we get 6+4=10 and the longer side is by 10 inches so than these are equales what not is right bc. need being longer than the sum of the shorter sides so from this result that just 7 inches is right

hope this will help you

Answer from: livdance

The correct option is (D) 7 inches.

Step-by-step explanation: Given that the lengths of two sides of a triangle are 10 inches and 4 inches.

We are to select the correct dimension that the third side of the triangle may be.

We know that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

If the third dimension is 4 inches, then we have

10+44,~~4+104,~~4+4

So, this option is not correct.

If the third dimension is 5 inches, then we have

10+45,~~5+104,~~5+4

So, this option is not correct.

If the third dimension is 6 inches, then we have

10+46,~~6+104,~~6+4=10.

So, this option is not correct.

If the third dimension is 7 inches, then we have

10+47,~~7+104,~~7+410.

So, this option is correct, because the sum of the lengths of any two sides is greater than the length of the third side.

Thus, the correct option is (D) 7 inches.

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Answer from: Quest

answer: c ?

step-by-step explanation:

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The lengths of two sides of a triangle are 10 inches and 4 inches. which of the following dimensions...