The three inside angles (A,B and C) of a right angled triangle are in the ratio 7:18:11

1 answer:

6 0

This is overdetermined. Without looking at the ratio (except for the order of the sides) the actute angles in a right triangle are complementary so the answer must be:

Answer: A=35°, C=90°, B=55°

We can do it the way they like.

7+18+11 =36

so to get 180 degrees we need to scale the ratio elements by a factor of 5.

7:18:11=35:90:55

A is the smallest. We see C is indeed a right angle and B is complementary to A.

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PLEASE HELP

Nookie1986 [14]

For the square with side length n, the diagonal measures:

$d = \sqrt{2} *n$

<h3>How to get the length of the diagonal?</h3>

The sidelength of the square is n, and we want to get the length of the diagonal d.

Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.

Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;

$d^2 = n^2 + n^2\\\\d^2 = 2n^2\\\\d = \sqrt{2n^2} \\\\d = \sqrt{2}*n$

That is the length of the diagonal.

If you want to learn more about right triangles:

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2 years ago

The equation of a circle whose center is (3,7) and whose radius is 6 is

Aleks [24]

The equation of any given circle is:
${(x - h)}^{2} + {(y - k)}^{2} = {r}^{2}$
where (h, k) is the center and r is the radius.

In the problem, we are given the center, and the radius. When we plug them in:
${(x - 3)}^{2} + {(y - 7)}^{2} = 36$
we got the formula of the circle.

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3 years ago

Ed galaxy perimeter

sp2606 [1]

Answer:

53 mm

Step-by-step explanation:

Perimeter is the sum of the lengths of all its sides.

Let the length of the unknown side be x mm.

123= 25 +45 +x

x= 123 -25 -45

x= 53