16. The Pythagorean Theorem states that a ^ 2 + b ^ 2 = c ^ 2 if a and b represent the lengths of the legs of a right triangle a

Question

2 years ago

9

16. The Pythagorean Theorem states that a ^ 2 + b ^ 2 = c ^ 2 if a and b represent the lengths of the legs of a right triangle a

nd c represents the length of the hypotenuse. aFind the length of the hypotenuse if the lengths of the legs are 9 cm and 12 cm. b. Find the length of each leg of an isosceles right triangle whose hypotenuse is 10 cm Round the nearest tenth of a centimeter

Mathematics

2 answers:

Bad White [126] · Answer 1 · 2022-07-03T23:54:58+03:00

Step-by-step explanation:

a. Pythagoras formula stated above

so 9²+12²

81+144 is 225

√252 is 15cm

b. in this question well have to use surds

an isosceles triangle had a 90 and 2x45 degree angles

we hypotenuse is 10cm

√a²+a² =10cm

√2a² is 10cm which makes

a√2 equals 10

then rearrange

a=10/√2= 5√2

the answer is 5√2

Ksivusya [100] · Answer 2 · 2022-07-04T02:08:47+03:00

Ksivusya [100]2 years ago

3 0

Answer: 25

Step-by-step explanation: