Question

The hypotneous of a right angle triangle is 10cm if one angle is double to the other angle find the area of triangle

Answer 1

Answer:

(25√3)/2

Step-by-step explanation:

Let the smaller angle be x and larger be 2x

Now x + 2x + 90° = 180°

3x = 90°

x = 30°

Using Trigonometry,

Base of triangle = 10cos30° = 5√3

Height of triangle = 10sin30° = 5

Area of triangle = b*h*1/2 = 5√3 * 5 * 1/2 = (25√3)/2

RATE IT AS BRAINLIEST

Answer 2

Answer:

area of triangle is = 20 units

Step-by-step explanation:

let one angle be = x

let second angle be =2x

in right angle triangle,

90 + x + 2x = 180 (asp)

x = 30

let ab = 2bc

(ab)² + (bc)² = 100

(2bc)² + bc² = 100

4bc² + bc² = 100

bc² = 20

bc = 2√5

ab = 4√5

area = 1/2 × b × h

= 1/2 × 2√5 × 4√5

= 20 ans