What is the answer!!!!!! Plz help me

Mathematics

1 answer:

taurus [48]2 years ago

5 0

Answer:

$\boxed{6}$

Step-by-step explanation:

We can use the geometric mean theorem:

The altitude on the hypotenuse is the geometric mean of the two segments it creates.

In your triangle, the two segments are MP and PO.

MP + PO = MO

MP + 3 = 15

MP = 12

Then,

$h = \sqrt{12 \times 3} = \sqrt{36} = \mathbf{6}\\\text{The altitude of the triangle is }\boxed{\textbf{6}}$

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A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures

Alekssandra [29.7K]

Answer:

AB = 9, BC = 15

Step-by-step explanation:

Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C

$\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \: \frac{18}{2} = x \\ \therefore \: x = 9$

$\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \: \frac{18}{2} = x \\ \therefore \: x = 9 \\ \because \: AB = x \\ \huge \red{ \therefore AB = 9} \\ \\ \because \:BC = x + 6 \\ \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}$