Answer:
#2
Step-by-step explanation:
i just know it and ive done it before bro.
The radius of the circle is 3.12 inch.
<h3>What is isosceles triangle?</h3>
A triangle having two sides of equal length. Additionally equal are the angles that face the equal sides. Triangle of isosceles. Having two identical sides and angles.
Calculation for the radius of the circle;
Consider the isosceles triangle ABC inscribed in a a circle (attached figure)
Sides AB = AC = 5 inches.
Side BC = 6 inches.
Join OB, OC and OA.
Draw perpendicular on BC from AD which passes from the centre O.
OD bisects BC at point D.
So, BD = DC = 3 inches.
In the right angled triangle ABC
AB² = AD² + BD²
5² = AD² + 3²
AD² = 16
AD = 4 inches.
Let the radius of the circle be r.
Then, OB = OC = OA = r
OD = AD - AO
OD = 4 - r
In the right angled triangle OBD;
OB² = OD² + BD²
r² = (4-r)² + 3³
On solving,
r = 25/8 = 3.12
Therefore, the radius of the circle comes out to be 3.12 inches.
To know more about the isosceles triangle, here
brainly.com/question/1475130
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Answer:
i am so sorry i cant help
Step-by-step explanation:
You must convert all of these ratios into ONE format, such as decimal fractions only, and then compare them, to find the largest ratio / proportion.
4/25 = 0.16
13% = 0.13
0.28 = 0.28
and so on. So far, 0.28 is the largest proportion. Find the other proportions.
The answer it’s 28% is the largest percent of students who choose math!
Answers:
- side AT = 36.122997 (approximate)
- side TR = 14.692547 (approximate)
- angle T = 66 degrees
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Explanation:
We'll use the cosine ratio to find side AT
cos(angle) = adjacent/hypotenuse
cos(A) = AR/AT
cos(24) = 33/AT
AT*cos(24) = 33
AT = 33/cos(24)
AT = 36.1229971906996
AT = 36.122997 approximately
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We could use the sine or tangent ratio to find side TR, but let's use the pythagorean theorem instead.
a^2 + b^2 = c^2
(AR)^2 + (TR)^2 = (AT)^2
33^2 + (TR)^2 = (36.1229971906996)^2
1089 + (TR)^2 = 1304.8709260393
(TR)^2 = 1304.8709260393 - 1089
(TR)^2 = 215.8709260393
TR = sqrt(215.8709260393)
TR = 14.6925466151821
TR = 14.692547 also approximate
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We could use any of the trig ratios of sine, cosine, or tangent to solve for angle T.
However, it's easiest to take advantage of the fact that angles A and T are complementary.
So,
A+T = 90
T = 90-A
T = 90-24
T = 66 degrees
This value is exact.