Question

The hypotenuse of an isosceles right triangle is 16 centimeters. Find the length of the 2 other sides of the triangle to the nearest tenth.

Answer 1

To find the length of the other sides of the isosceles right triangle with a hypotenuse of 16 centimeters, use the Pythagorean theorem.

Step-by-step explanation:

To find the length of the other sides of the isosceles right triangle, we need to use the Pythagorean theorem. In this case, the hypotenuse is 16 centimeters. Let's assume that the length of the two equal sides is 'x' centimeters. According to the Pythagorean theorem, we have:

x^2 + x^2 = 16^2

2x^2 = 256

x^2 = 128

x ≈ ¸11.3

Therefore, the length of the two other sides of the triangle is approximately 11.3 centimeters.

Answer 2

right triangle means we can use a^2+b^2=c^2
isosceles means 2 sides are equal legnths

the hypotenuse is normally the longest side so the equal sides are the other sides so therefore
a=b
therefor
(a^2)+(a^2)=c^2
2(a^2)=16^2
2(a^2)=256
divde both sides by 2
a^2=8
the side legnth of the other 2 sides is the square root of 8 which is aprox 2.8284271247452
but we only want the tenth so we look at the hundreths as well
2.82
round to the nearest tenth
2.8 cm is the answer of the legnths