Given: A right triangle in which an altitude is drawn from the right angle vertex to the hypotenuse.

To find: 'x' the larger leg of triangle

Solution,

Using let rule for similarity in right triangle:

$\frac{leg}{part} = \frac{hypotenuse}{leg} \\ or \: \frac{x}{27} = \frac{3 + 27}{x} \\ or \: x \times x = 27(3 + 27) \\ or \: x \times x = 81 + 729 \\ or \: {x}^{2} = 810 \\ or \: {x}^{2} = 81 \times 10 \\ or \: {x} = \sqrt{81 \times 10} \\ or \: x = \sqrt{81} \times \sqrt{10} \\ or \: x = \sqrt{ {(9)}^{2} } \times \sqrt{10} \\ \: x = 9 \sqrt{10}$

Hope this helps...

Good luck on your assignment..

7 0

3 years ago

Mrs.smith paid $125 to have her hair colered and cut.if she tips her hairdresser 15% of her bill how much was the tip

rewona [7]

125 divided by 100 is 1.25, 1.25 times 15 is 18.75.She tips $18.75

5 0

2 years ago

Write a proof for the conjecture using the contrapositive. <br> If 5x + 7 = -13, then x = -4.

KonstantinChe [14]

Answer:

ans x=4

Step-by-step explanation:

5x + 7 = -13
5x = -13 -7
5x= -20
x = -20/5
x = -4
so the answer is x= -4

3 0

3 years ago