Respuesta :

Gladistshiala267

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.

hope this helps

Answer:

x = 27

Step-by-step explanation:

Let the point on BC where the segment from A intersects be D

Since AD is an angle bisector, the the following ratios are equal

[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BD}{CD}[/tex], that is

[tex]\frac{x+8}{2x-5}[/tex] = [tex]\frac{10}{14}[/tex] ( cross- multiply )

10(2x - 5) = 14(x + 8)

20x - 50 = 14x + 112 ( subtract 14x from both sides )

6x - 50 = 112 ( add 50 to both sides )

6x = 162 ( divide both sides by 6 )

x = 27


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