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3 years ago

If a triangle has lengths of 3 ft and 54 ft, check all the possible lengths for the third side

Mathematics

1 answer:

Whitepunk [10]3 years ago

8 0

MrBillDoesMath!

Answer: 51,53,55,57

Discussion. By the triangle inequality the sum of the lengths of any two sides is greater than or equal to the third side. In our case, 3 + 54 = 57, so the third side must be less than or equal to 57.

MrB

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What number raised to the -2 exponent would equal 1/4?

serious [3.7K]

Let, the number = x
It would be: x² = 1/4
x = √1/4
x = 1/2

In short, Your Answer would be 1/2

Hope this helps!

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3 years ago

Please help with geometry. 20 points, and another question worth 98 on my profile!

vovikov84 [41]

Answer:

Part 1) m∠1 =(1/2)[arc SP+arc QR]

Part 2) $PR^{2} =PS*PT$

Part 3) PQ=PR

Part 4) m∠QPT=(1/2)[arc QT-arc QS]

Step-by-step explanation:

Part 1)

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

we have

m∠1 -----> is the inner angle

The arcs that comprise it and its opposite are arc SP and arc QR

m∠1 =(1/2)[arc SP+arc QR]

Part 2)

we know that

The Intersecting Secant-Tangent Theorem, states that 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.

In this problem we have that

$PR^{2} =PS*PT$

Part 3)

we know that

The Tangent-Tangent Theorem states that if from one external point, two tangents are drawn to a circle then they have equal tangent segments

In this problem

PQ=PR

Part 4)

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

In this problem

m∠QPT -----> is the outer angle

The arcs that it encompasses are arc QT and arc QS

therefore

m∠QPT=(1/2)[arc QT-arc QS]

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3 years ago

Please help don't answer just for points please' Zoom in to see clearer :)

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I think it might be C but please wait for someone else to comment to confirm my answer :) have a beautiful day you are loved

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