Answered

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A garden is in the shape of an isosceles right triangle. The length of the hypotenuse is 24 feet. What is the area of the triangle?

Sagot :

jcherry99

Answer:

Area = 144 ft^2

Step-by-step explanation:

Remark

Use the Pythagorean theorem to find the length of the legs. Then multiply them together and divide by 2.

Equations

a^2 + a^2 = c^2

Area = (1/2) * a^2

Givens

c = 24

Solution

Remember that an isosceles triangle has 2 equal sides. Both legs of the triangle are equal to a.

a^2 + a^2 = c^2              Combine

2a^2 = 24^2                   Expand

2a^2 = 576                    Divide by 2

2a^2/2= 576/2              

a^2 = 288                      You might just as well leave this. go to area

Area = 1/2 (288)

Answer: Area = 144 ft^2

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