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Dima020 [189]
3 years ago
7

An isosceles right triangle has an area 8 cm square find the length of its hypotenuse​

Mathematics
1 answer:
Ainat [17]3 years ago
6 0

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

{a}^{2}  +  {b}^{2} =  {c}^{2}

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

{4}^{2}  +  {4}^{2}  =  {c}^{2}

which simplify to

16 + 16  =  {c}^{2}

32 =  {c}^{2}

\sqrt{32}

which is about 5.9

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