Answer:
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Step-by-step explanation:
we know, ∠BGA = 90
In right angled triangle BGA
AB = 12 cm (diameter of circle)
⇒ (AB)2 = (AG)2 + (BG)2
⇒ 122 = 82 + (BG)2
⇒ BG = 4√5
In right angled triangle BCG
Let CG be x cm.
⇒ (BC)2 = (CG)2 + (BG)2
⇒ (BC)2 = x2 + (4√5)2 ----(1)
As we know,
⇒ (BC)2 = CG × CA ----(2)
From equation (1) and equation (2)
⇒ x2 + (4√5)2 = x × (x + 8)
⇒ x2 + (4√5)2 = x2 + 8x
⇒ 8x = 80
⇒ x = 10 cm
From equation (2)
⇒ (BC)2 = CG × CA
⇒ (BC)2 = 10 × 18 = 180
⇒ BC = √180 = 6√5
6 × 5 = 30
Answer: 12.1
Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.
So let's write our data set from least to greatest.
<u><em>least to greatest</em></u> 4.8, 6.9, 12.1, 14.8, 16.2
So the median will be the middle number or 12<em>.</em>1.
Answer:
Step-by-step explanation:
Given:
An isosceles triangle ABC with AB = AC.
∠A = 
∠B = 
∠C = 
We know that, for an isosceles triangle, the angles opposite equal sides are also equal to each other.
Therefore, ∠B = ∠C
⇒ 
⇒ 
∴ ∠C = 
°
Now, the sum of all the interior angles of a triangle is always 180°.
Therefore, the value of 'y' is 5.
Answer would be 58.5 yd^2 .
You should take the base of the triangle multiplied by the height.
Formula: 1/2×base×height
In this case, you know that base is 13yd and height is 9 yd.
So, apply the formula.
Area = 1/2(13yd)(9yd) = 58.5 yd^2
*Do not include the " invisible length as it is not part of the actual triangle.
*Do not include 32yd as it is a hypotenuse and not a base. Hypotenuse is a side that is opposite a right angle triangle.
