Question

one acute angle of right angle triangle double of the Other if the length of its hypotenuse is 10 then its area is ​

Answer 1

Step-by-step explanation:

the answer is pretty simple.

hope i helped you ☺️

Answer 2

Answer:

let,

ABC is a right angled triangle.

sideAC is hypotenuse

AC=10

according to given condition

we have to take,

triangle of 30°-60°-90°

where, angleC=30 °

angleA=60°

<B=90°

solution:

AB=1/2×AC............(30°-60°-90° theorem)

AB=1/2×10

AB =5

BY Pythagoras theorem

AC²=AB²+BC²

BC²=AC²-AB²

=10²-5²

=100-25

=75

BC=5root3

now,

AB is height =5

BC is base=5root3

area of triangle= ½× base × height

=½×5root3×5

=21.650 square.unit