Verified answer

1.) The first triangle is a special triangle because it is a 45-45-90 triangle. and if the short side is 4, the second short leg is also 4 which is the answer to the first x.

x=4

2.) The second triangle is also a special triangle because it's a

30-60-90 triangle. So if the short side is 5 the second leg would be the short leg * √3. so the answer is 5 square root of 3.

x= 5√3

*Remember this formula:

45-45-90 triangle:

Short leg: y

Second short leg: y

hypotenuse: y√2

30-60-90 triangle:

Short leg: y

Second short leg: short leg * √3

Hypotenuse: Short leg * 2

For the 1st triangle, you see that it's a 45-90-45 triangle. The properties for one of these triangles is that the 2 perpendicular sides are equal and the hypotenuse is that value times the square root of 2. So for your specific triangle, they tell you that the sides are 4. That means the hypotenuse or x = 4√2

For the 2nd triangle, it is a 30-60-90 triangle. So if the shortest is 2 for example. That means the other side is 2√3, and the hypotenuse is 2x2 = 4. So for your specific triangle, they tell you that the shortest side is 5. They ask you for the hypotenuse (x). The hypotenuse is 2 times the short side so that means x = 5x2 = 10.

sure, U can ......... easily those 3,4 and 5 sort a perfect angled triangle and such pairs are referred to as trigonometric tuples so their ratio 3:4:5 bares comparable ratio consistently consequently 9:12:15 = 3:4:5 that's genuine........