I'm guessing you find the length of the hypotenuse using the pythagorean theorem.
a² + b² = c² a and b are the legs and c is the hypotenuse
15² + 8² = c²
225 + 64 = c²
289 = c²
√289 = √c²
17 = c
hope that helps, God bless!
Answer:
The correct option is option (c).

Step-by-step explanation:
Right angled triangle:
- One angle must be 90° and other two angles are acute angle.
- The hypotenuses is the longest side of the triangle and opposite right angle.
- It follows the Pythagorean Theorem.
Given that,
∠QRP= 90°, ∠RPQ= 30°, ∠PQR = 60°
we know that,

for sin P , the opposite is QR.
The hypotenuse is PQ.
Therefore,

Answer:
6.5 cm
Step-by-step explanation:
The computation of the length of the apothem is shown below:
Given that
The side length is 9.4 centimeters
And, the radius is 8 centimeters
Now based on the above information
As per the attached figure
AB = 8 cm
BC = 9.4 ÷ 2 = 4.7 cm
Now apply the pythagoras theorem
AB^2 = BC^2 + AC^2
8^2 = 4.7^2 + AC^2
AC^2 = 41.91
AC = 6.47 cm
= 6.5 cm
Answer:
x² + (y + 5)² = 100
Step-by-step explanation:
If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).
Using the equation of a circle with center (h, k)
(x - h)² + (y - k)² = r² where r = radius of the circle.
Given that r = 10 units, and substituting the values of the other variables into the equation, we have
(x - h)² + (y - k)² = r²
(x - 0)² + (y - (-5))² = 10²
x² + (y + 5)² = 100
which is the equation of the circle.