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3 years ago

Which set of numbers form a right triangle

1 answer:

6 0

The answer you are looking for is B. 7, 24, 25.

To find this, you could use Pythagorean Theorem (a^2 + b^2 = c^2). C is the hypotenuse, or the longest side (25 in this case). So you'd do 7^2 + 24^2 = 25^2. Solving for each would give you 49 + 576 = 625. Adding the left side, gives you 625 = 625. Thus probing, this is a right triangle.

I hope this helps!

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Which equation involves a prime quadratic and cannot be solved by factoring? A. x2 + 6x + 9 = 0 B. x2 − x − 6 = 0 C. x2 + 3x − 4

Hitman42 [59]

The answer is D, because the others can be solved. A when factored is equal to -3, when B is factored it is equal to 3,-1, when C is factored it is 1,-4. D can be solved but you will only get irrational numbers which can't be used.

4 0

3 years ago

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The length of the hypotenuse of the right triangle is 25 cm, the length of one of the legs is 10 cm. What is the length of the s

Anna007 [38]

Answer:

21 cm

Step-by-step explanation:

Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.

The right triangles formed by the altitude are all similar to the original. That means ...

AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant

Multiplying by AB and substituting the given numbers, we get ...

AD = AB²/AC = 10²/25

AD = 4

Then the segment DC is ...

DC = AC -AD = 25 -4

DC = 21 . . . . . centimeters

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3 years ago

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BaLLatris [955]

If your asking what d equals, then it’s 10

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3 years ago

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3 years ago

Garrett is building a slide for his kids. If the ladder is 1 meter tall and he wants the bottom of the slide to be 4 meters from

TEA [102]

The slide needs to be 4.123 meters

Step-by-step explanation:

Length for the ladder- 1 mtr

Distance of the bottom of the slide from the ladder- 4 mtr

Length of the slide needed

We can view the whole set up in the form of a right-angled triangle with the base representing the slide distance from the ladder, ladder length representing altitude and slide length representing as hypotenuse (As provided in the diagram)

For right-angled triangle we know from Pythagoras theorem-

Base² + altitude²= hypotenuse ²

Substituting the values of base as 4 mtr and altitude as 1 m

(Hypotenuse)²= 17

∴ Hypotenuse (slide length) =4.123 mtr

∴ Length of the slide needed= 4.123 meters

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3 years ago

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