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anzhelika [568]
3 years ago
15

How? In the world do you do this it’s very confusing

Mathematics
2 answers:
lara31 [8.8K]3 years ago
4 0

This is a 30° - 60° -90° triangle, which means that the sides will measure: 1, √3, 2.

Note that:

2 is the hypotenuse, opposite of the 90° angle

√3 is the longer side, opposite of the 60° angle

1 is the shortest side, opposite of the 30° angle

-------------------------------------------------------------------------------------------------------------------

7 is in the place of 1, and is the shortest length measurement.

x is in the place of 2, which is twice the size of the place value of 1, which is 7

x = 7(2)

x = 14

-------------------------------------------------------------------------------------------------------------------

y is in the place value of √3, which is √3 more than the place value of 1

7 x √3 = 7√3

y = 7√3

-------------------------------------------------------------------------------------------------------------------

x = 14, y = 7√3, or (B), is your answer

-------------------------------------------------------------------------------------------------------------------

hope this helps

OleMash [197]3 years ago
3 0

So this triangle is considered a "special triangle". The 30-60-90 triangle rule states that if the short leg is n, then the hypotenuse is 2n and the long leg is n√3.

In this case, since the short leg is 7, x = 14 and y = 7√3. The correct answer that has this is B.

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motikmotik

Answer:

We conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.          

Step-by-step explanation:

From the given right-angled triangle,

  • Base = p+1
  • Perpendicular = 2p-6

Using the formula to determine the area of the right-angled triangle

Area of the right triangle A = 1/2 × Base × Perpendicular

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Factor 2p-6: 2(p-3)

                                             =\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}  

Divide the number: 2/2 = 1

                                              =\left(p+1\right)\left(p-3\right)

\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

                                               =pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)

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Therefore, we conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.                                        

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