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3 years ago

In triangle ABC, m hypotenuse: AB, BC, or CA?

Mathematics

1 answer:

Arlecino [84]3 years ago

5 0

Answer:

The hypotenuse is the side AB

Step-by-step explanation:

Right Triangles

Right triangles are identified because they have an internal angle of 90°. The longest side is the hypotenuse and the two smaller sides are called the legs.

The hypotenuse is always opposite to the right angle.

The image provided below shows a right triangle ABC, whose angle C is 90°. Thus, the hypotenuse is the side AB.

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Segment PH is graphed on the coordinate grid where P is (-31,8) and H is (29,-10). Point E is the midpoint of segment PH. If poi

maks197457 [2]

Answer:

The coordinates of point A are (-11 , 2)

Step-by-step explanation:

- The coordinates of point P are (-31 , 8)

- The coordinates of point H are (29 , -10)

- Point E is the mid-point of segment PH

- The coordinates of the the mid-point are:

→ $x=\frac{x_{1}+x_{2}}{2}$ and $y=\frac{y_{1}+y_{2}}{2}$

∵ E is the mid-point of segment PH

∴ The x-coordinate of point E is $x=\frac{-31+29}{2}=-1$

∴ The x-coordinate of point E is -1

∴ The y-coordinate of point E is $y=\frac{8+-10}{2}=-1$

∴ The y-coordinate of point E is -1

∴ The coordinates of point E are (-1 , -1)

- Point A is graphed $\frac{2}{3}$ of the way along the segment from P to E

- That mean the distances from points P to A is 2 parts and from P to E

is 3 parts, then the distance from A to E is "3 - 2" = 1 part

- So point A divides the line segment PE at ratio 2 : 1 from P

- The coordinates of the division point are:

→ $x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and $y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

∵ Point A divides PE at ratio 2 : 1

∵ The coordinates of point P are (-31 , 8)

∵ The coordinates of point E are (-1 , -1)

∴ The x-coordinate of point A is $x=\frac{(-31)(1)+(-1)(2)}{2+1}= -11$

∴ The x-coordinate of point A is -11

∴ The y-coordinate of point A is $x=\frac{(8)(1)+(-1)(2)}{2+1}=2$

∴ The y-coordinate of point A is 2

∴ The coordinates of point A are (-11 , 2)

* The coordinates of point A are (-11 , 2)

3 0

3 years ago

AREA OF COMPOSITE SHAPES SOMEONE PLEASE HELP ASAP

gtnhenbr [62]

Answer:

Step-by-step explanation:

Up - 8

Down - 8

⨆

8•8=64

7 0

3 years ago

Solve for X then find the measure of

Savatey [412]

Answer:

x=11

m<a=80º

m<b=80º

Step-by-step explanation:

They are congruent so

8x-8=5x+25

8x=5x+33

3x=33

x=11

6 0

3 years ago

Read 2 more answers

If one pound = rupees 135 and dollar =105 rupees then convert the pound 63 into Dollar

enot [183]

Answer:

Step-by-step explanation:

£63 = 135 × 63

= Rs . 8505

Rs . 8505 = 8505 / 105

= $81

6 0

2 years ago

Bryan is buying notebooks and pens at an office supply store. Notebooks cost $3.59 and pens cost $1.49. He can spend up to $13 o

romanna [79]

Answer:if the notebooks cost 3.59 and pens cost 1.49, with x representing the notebooks and y representing the number of pens and an amount of $13, the inequality would be written as 3.59x+1.49y13

Step-by-step explanation:

3 0

3 years ago