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Answer :

Answer:

5.9

Step-by-step explanation:

Area of a triangle is 1/2 base times height. the base is the horizontal part of the triangle and the height is the vertical part. Since it a isosceles they are equal. Those two segment are also called the legs (remember that for later). 4x4=16 times 1/2 equal 8 cm squared. So know me must find the hypotenuse. Since we since dealing with a right triangle we are going to use pythagorean theorem which is

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

where a and b are the LEGS and c is the hypotenuse. the legs are also known as base and height so we use

[tex] {4}^{2} + {4}^{2} = {c}^{2} [/tex]

which simplify to

[tex]16 + 16 = {c}^{2} [/tex]

[tex]32 = {c}^{2} [/tex]

[tex] \sqrt{32} [/tex]

which is about 5.9