Answer:
The length of the sides of the right angle triangle
15 , 25, 20
Step-by-step explanation:
<u>Explanation</u>:-
<u>Step(i):-</u>
we know that by using Pythagorean theorem to find the lengths of the sides of the triangle
AC² = AB² + BC²
Given a right triangle has legs labeled 3m and 2m+10
let us assume that AB = 3m and BC = 2m + 10
Given a hypotenuse labeled 5m
let us assume that hypotenuse AC = 5m
<u>Step(ii)</u>:-
Now by using Pythagorean theorem
AC² = AB² + BC²
(5m)² = (3m)² + (2m+10)²
25m² = 9m² + 4m² + 40m + (10)² ( since (a + b)² = a²+2ab+b²) )
on simplification , we get
25m²-13m² -40m -100 =0
12m² -40m -100 =0
4(3m² -10m -25) =0
3m² -10m -25 =0
3m² - 15m + 5m -25 =0
3m(m-5) + 5(m-5) =0
(3m +5) (m-5) =0
3m +5 =0 and m-5=0
3m = -5 and m =5
and m=5
we can not choose negative value
so the value m=5
<u>Step (iii)</u>:-
The sides of right angle triangle
AB = 3m
AB = 3(5) = 15 and
BC = 2m + 10
BC = 2(5) +10 = 20
The hypotenuse AC = 5m
AC = 25
<u>Conclusion:</u>-
The lengths of the sides of the right triangle
15, 25 ,20
Answer:
6 minutes
Step-by-step explanation:
There are 60 minutes in an hour. This can be broken up into 5 12-minute intervals. From there, you can do 3 intervals of 12 minutes which is 36 minutes. The 36 minutes is divisible by 6 questions getting to 6 minutes per question.
The require degenerative circle is (x - 5)² + (y - 1)² = 0. Option C is correct.
Given that,
The equation for the degenerative circle is to be determined.
<h3>What is a circle?</h3>
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.
The degenerative circle is a circle whose radius is zero, from the option,
Option C has the equation of the circle with radius zero.
Thus, the required degenerative circle is (x - 5)² + (y - 1)² = 0.
Learn more about circle here:
brainly.com/question/11833983
#SPJ1
7. is the answer to your question
<h3>
Answer:</h3>
6√2 ≈ 8.485 inches
<h3>
Step-by-step explanation:</h3>
The radii and the chord together make an isosceles right triangle with legs 6 inches long. The hypotenuse of such a triangle is √2 times the leg length. So, the chord will be 6√2 in long.
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<em>Comment on isosceles right triangle</em>
It is worth remembering that the hypotenuse of an isosceles right triangle is √2 times the leg length. This is easily found using the Pythagorean theorem:
... c² = a² + b²
... c² = 1² + 1² = 2 . . . . for legs of length 1
... c = √2 . . . . . . . . . . take the square root.
Scale this result as needed for any particular problem. Here, the scale factor is 6 inches.
