Question

Find the value of X Round your answer to the nearest tenth.

(A right-angled triangle with two adjacent sides to the right angle labeled 4.6 feet and 3.5 feet. The length of hypotenuse is labeled 5.8 feet. An altitude drawn from the right angle vertex on hypotenuse is labeled x.)

Answer 1

Answer: X = 14

Step-by-step explanation: (:

Answer 2

The values of x for the questions posed are : 14.12 and 2.8 respectively.

Using the Altitude theorem :

• BC² = AC × DC

Now we have ;

30² = 34 × DC

30²/34 = DC

DC = 26.47

Using pythagoras;

x² = 30² - 26.47²

x² = 900 - 700.6609

x² = 199.3391

x = √199.3391

x ≈ 14.12

Hence, the value of x is 14.12 units

2.)

Similar to the figure drawn above ;

4.6² = 5.8 × DC

4.6²/5.8 = DC

DC = 3.65

Using pythagoras;

x² = 4.6² - 3.65²

x² = 21.16 - 13.3225

x² = 7.8375

x = √7.8375

x ≈ 2.80

Hence, the value of x is 2.8 feets (nearest tenth)