Edgar buys a apples, b bananas, and c cantaloupes at the farmer's market. The prices
at the market are shown in the table.
Fruit
Price Each
Apples
$0.50
Bananas
$0.20
Cantaloupes
$1.50
Edgar has a coupon for a free apple. If he gets
5 apples, 4 bananas, and 2 cantaloupes, how
much money does he spend? TEKS A5(A)
A.1(E)
$2.20
$4.50
$5.80
$6.30

Explanation:

OQ = 10 is the radius, and so is segment RO. Both are the same length as they are the radii of the same circle. Triangle ORP has a leg of RO = 10 and a hypotenuse of PO = 26. The unknown side is PR = x.

Use the pythagorean theorem. We can use this theorem because the tangent formed (at point R) creates a 90 degree angle.

a^2 + b^2 = c^2

(PR)^2 + (RO)^2 = (PO)^2

x^2 + 10^2 = 26^2

x^2 + 100 = 676

x^2 = 676 - 100

x^2 = 576

x = sqrt(576) ... apply square root

x = 24