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Aliun [14]
3 years ago
6

The lengths of the legs of a right triangle are 6 cm and 8 cm. What is the length of the hypotenuse?

Mathematics
2 answers:
rosijanka [135]3 years ago
7 0
You can find the missing side of a right triangle by using the Pythagorean Theorem (a² + b² = c²), where c is the hypotenuse. So, just plug the given numbers in and solve for c.

a² + b² = c²   Plug 6 and 8 in for a and b (order doesn't matter)
6² + 8² = c²   Square both numbers
36 + 64 = c²   Add
100 = c²   Take the square root of both sides
10 = c   Switch the sides of the equation to make it easier to read
c = 10

So, the hypotenuse of the triangle is 10 cm.
Svetllana [295]3 years ago
6 0
You require the Pythagorean Theorem: in a right triangle, the sum of the squares of the legs equals the square of the hypotenuse.In this case 6^2 + 8^2 = 36 + 64 = 100 = 10^2
 the hypotenuse is 10.
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Given the triangle that has a base of five less than triple the height. The height is 2x+6.
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Answer:

<h3>          A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>

Step-by-step explanation:

H = 2x+6          - the hight

3H = 3(2x+6)      - triple the hight

3H-5 = 3(2x+6) - 5    -  five less than triple the height

Area of triangle:  A = 0.5BH

B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13

H = 2x+6

So:

    A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78

    A = 6x² + 49x + 78

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Answer:

Step-by-step explanation:

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From the information given,

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Step-by-step explanation:

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