What is the value of x? enter your answer in the box. x = a right triangle. the legs are labeled seven and twenty-four, and the hypotenuse is labeled x.

Solution :-

Given - 

The two sides other than hypotenuse = 7 cm and 24 cm

By using Pythagoras Theorem.

(Hypotenuse)²  = √(Base)² + (Perpendicular)²

Let the hypotenuse of the given triangle be x cm

⇒ (x)² = √(7)² + (24)²

⇒ √49 + 576

⇒ √625

⇒ 25

So, the length of hypotenuse is 24 cm.

Step-by-step explanation:

From the given statement, it is given that ABC is a right triangle which is right angled at B and AC=x, AB=24 and BC=7.

Then, using the Pythagoras theorem , we have

Substituting the given values, we have

Therefore, the value of x is 25.

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)