Question

Find the value of x. A. 53–√ m B. 241−−√ m C. 6 m D. 6+35–√ m

Answer 1

2 sqrt(41) =c

Explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

8^2 + 10^2 = c^2

64+ 100 = c^2

164 = c^2

take the square root of each side

sqrt(164) = sqrt(c^2)

sqrt(4*41) = c

2 sqrt(41) =c

Answer 2

x = 2√41 m

Explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

a² = b² + c²

where a is the hypotenuse

From the question x is the hypotenuse

So we have

`{x}^(2) = {8}^(2) + {10}^(2)`

`{x}^(2) = 64 + 100`

`{x}^(2) = 164`

Find the square root of both sides

We have the final answer as

x = 2√41 m

Hope this helps you