Question

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

Answer 1

Answer:

C. x = 10

Step-by-step explanation:

By Pythagoras Theorem:

$\bigg( \frac{x}{2} \bigg)^{2} = {( \sqrt{74} )}^{2} - {7}^{2} \\ \\ \frac{ {x}^{2} }{4} = 74 - 49 \\ \\ \frac{ {x}^{2} }{4} = 25 \\ \\ {x}^{2} = 25 \times 4 \\ \\ {x}^{2} = 100 \\ \\ x = \sqrt{100} \\ \\ x = 10$

Answer 2

Answer:

• C. x = 10

Step-by-step 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