Question

Find the length of the missing side. the triangle not drawn to scale. (Image attached)
Will give BRAINLIEST to the first person to answer correctly and show your work please :))

Answer 1

Answer: 8

Step-by-step explanation:

 The triangle shown in the image attached is a right triangle.

Therefore, to calculate the missing lenght of the triangle you can apply the Pythagorean Theorem, which is shown below:

$a^2=b^2+c^2$

Where a is the hypotenuse and b and c are the legs.

The problem gives you the value of the hypotenuse and the value of one leg. Therefore, you must solve for the other leg from $a^2=b^2+c^2$, as following:

$17^2=15^2+c^2\\c=\sqrt{17^2-15^2}\\c=8$

Therefore, the lenght of the missing side is: 8

Answer 2

Answer:

The value of third side= 8 units

Step-by-step explanation:

It is given a right angled triangle with base = 15 and hypotenuse = 17

We have to find the height of given triangle.

Points to remember

By Pythagorean theorem

Base² + Height² = Hypotenuse²

To find the third side

Here base = 15 and hypotenuse = 17

We have,

Base² + Height² = Hypotenuse²

Height² = Hypotenuse² - Base² = 17² - 15² = 64

Height = √64 = 8 units

Therefore the value of third side = 8 units