Question

Find the value of x in the isosceles triangle shown below.
V74
V74

Answer 1

C. x = 10

Explanation:

By Pythagoras Theorem:

`\bigg( (x)/(2) \bigg)^(2) = {( √(74) )}^(2) - {7}^(2) \\ \\ \frac{ {x}^(2) }{4} = 74 - 49 \\ \\ \frac{ {x}^(2) }{4} = 25 \\ \\ {x}^(2) = 25 * 4 \\ \\ {x}^(2) = 100 \\ \\ x = √(100) \\ \\ x = 10`

Answer 2

• C. x = 10

Explanation:

Use Pythagorean theorem.

• (x/2)² = (√74)² - 7²
• (x/2)² = 25
• x/2 = √25
• x/2 = 5
• x = 10

Correct choice is C