Question

An isosceles right-angled triangle is shown.
The area of the triangle is 200 cm?.
Work out the value of x.

Answer 1

Answer:

$\boxed{x=4}$

Step-by-step explanation:

Area of triangle = 0.5 × Base × Height

→ Substitute in the values

200 = 0.5 × 5x × 5x

→ Simplify

200 = 12.5x²

→ Divide both sides by 12.5

16 = x²

→ Square root both sides

4 = x ∴ x = 4