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Answered

Solve the following inequalities. Show your SOLUTION

One leg of a right triangle is 7cm shorter than the other leg. How long should the shorter leg be

to ensure the hypotenuse is at least 13?​

Sagot :

MARLONABAD1212IN

Answer:

Shorter leg = 5cm

Step-by-step explanation:

other leg = x

shorter leg = x - 7

Using Pythagoras theorem.

x^2 + (x - 7)^2 =13^2

x^2 + x^2 -14x + 49 = 169

(2x^2 - 14x - 120 = 0) 1/2

x^2 - 7x - 60 = 0

(x + 5)(x - 12) = 0

x + 5 = 0

x = -5 (Disregard since it is negative)

x - 12 = 0

x = 12

other leg = 12cm

shorter leg = 12 - 7 = 5cm

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