A right triangle has leg measures of 8 and 15 inches. What is the area and perimeter of the triangle?
1 answer:
Hello!
<h3><em><u>Answer</u></em></h3>The area of the right triangle is 30 . The perimeter is 40 in.
<h3><em><u>Explanation</u></em></h3>
First, we must find the measure of the hypotenuse of the triangle by using the Pythagorean Theorem.
+
64 + 225 =
√289 =
17 =
Now that we have all the side lengths, we can use the formulas to find the area and perimeter.
<h3>AREA:</h3>A =
A = (15 × 8) ÷ 2
A = 30
<h3>PERIMETER:</h3>P = a + b + c
P = 8 + 15 + 17
P = 40
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The diagram would look something like the picture I attached. We know that to find the area of a circle, you do πr^2. The radius is half of the diameter, so halve the diameters:
22/2 = 11 yards
32/2 = 16 yards
Then solve for the area of both circles.
π
π ≈ <span>380.13 (area of the pool)</span>
π
π ≈ <span>804.25 (area of the whole thing)
</span>
Next, subtract the area of the pool from the area of the whole thing to find the area of the walkway:
(area of the walkway)
Finally, divide the area of the walkway by 6 to see how many gallons of paint you'll need:
424.12 ÷ 6 ≈ 70.69
So you'll need 71 gallons of paint!
Hope I helped and let me know if you have any questions :)
The diagram would look something like the picture I attached. We know that to find the area of a circle, you do πr^2. The radius is half of the diameter, so halve the diameters:
22/2 = 11 yards
32/2 = 16 yards
Then solve for the area of both circles.
π
π
</span>
Next, subtract the area of the pool from the area of the whole thing to find the area of the walkway:
Finally, divide the area of the walkway by 6 to see how many gallons of paint you'll need:
424.12 ÷ 6 ≈ 70.69
So you'll need 71 gallons of paint!
Hope I helped and let me know if you have any questions :)