What will be the length of third side of a right angled triangle whose hypotenuse is 13cm and

Mathematics

2 answers:

Anna71 [15]3 years ago

5 0

Answer:

Step-by-step explanation:

Pythagorean theorem:

a^2 + b ^2 = c ^2

side^2 + side^2 = hypotenuse^2

5^2 + x^2 = 13^2

25 + x ^2 = 169

subtract 25

x^2 = 144

√ each side

x= √144 = 12

ch4aika [34]3 years ago

4 0

Answer:

12 cm

Step-by-step explanation:

let call hypotenuse a

and the other 2 sides are b, c respectively

have a = 13 cm and b = 5 cm

Follow Pythagorean theorem for Right triangle

$a^{2} = b^{2} +c^{2} \\c^{2} = a^{2} - b^{2}$

$c^{2} = 13^{2} -5^{2} \\c^{2} = 144\\c = 12$

The length of third side is 12 cm

You might be interested in

As a farmer, Felipe keeps a close eye on the weather. After a few stressful weeks with no rain, Felipe was relieved when it star

Sladkaya [172]

Answer:

The time it took until 2 inches of rain fell is 8 hours

Step-by-step explanation:

You know that the proportional relationship between the amount of time (in hours) it had been raining, x, and the amount of rain (in inches) it had fallen, y, is y = 0.25*x

To find the time that passed until 2 inches of rain fell, you must replace the amount of rain (in inches) that had fallen "and" by that value. In this way the following expression is obtained:

2= 0.25*x

Solving:

$\frac{2}{0.25}=x$