Question

Please answer it fast (Step by step explained answer will be marked as Brainliest) Yellow tick mark is the question ​

Answer 1

Answer:

2) 10. 3)17

Step-by-step explanation:

2) using pythagoras theorm

x²=6²+8²

x²=100

x=10

3)x²=15²+8²

x²=289

x=17

Answer 2

Answer:

ii) x = 10cm

iii) x = 17cm

Step-by-step explanation:

The given triangles are right angled triangles.

This is a dead giveaway that we have to use the Pythagoras Theorem.

The Pythagoras Theorem states that the square of the hypotenuse of a

right angled triangle equals the sum of the squares of the other two sides.

The hypotenuse is the longest side of the right angled triangle, and is drawn obliquely in a right angled triangle.

Now, the theorem can be represented as

$AC^2 = AB^2 + BC^2$

Where,

AC is the hypotenuse.

AB and BC are the other 2 sides of a right angled triangle.

Now,

ii) The hypotenuse is x.

     The measures of the other 2 sides are 6 and 8.

Now, according the the Pythagoras Theorem,

$x^2 = 6^2 + 8^2$

$x^2 = 36 + 64\\x^2 = 100\\x = \sqrt{100}$

x = 10cm

iii) The hypotenuse is x.

     The measures of the other 2 sides are 8 and 15.

Now, according the the Pythagoras Theorem,

$x^2 = 8^2 + 15^2$

$x^2 = 64 + 225\\x^2 = 289\\x = \sqrt{289}$

x = 17cm