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1. What is the value of x?

(the picture goes with #1)
2.The area of a right triangle is 336 square centimeters. The base of the right triangle is 48 centimeters.


What is the length of the hypotenuse of the right triangle?


please help thank you :)

1 What is the value of xthe picture goes with 12The area of a right triangle is 336 square centimeters The base of the right triangle is 48 centimetersWhat is t class=

Respuesta :

sqdancefan

Answer:

  1. 98 mm
  2. 50 cm

Step-by-step explanation:

1. Angle bisector TY divides the figure into proportional parts:

  YV/TV = YK/TK

  YV = TV·(YK/TK) = 57·68/129.2 = 30

Then x = YV +YK = 30 +68

  x = 98 . . . mm

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2. The formula for area of a triangle is ...

  A = 1/2bh

Filling in the given numbers, we have ...

  336 = 1/2·48h

  h = 336/24 = 14

So, the legs of the right triangle are 14 and 48. The length of the hypotenuse (c) can be found using the Pythagorean theorem:

  c^2 = 14^2 +48^2 = 196 +2304 = 2500

  c = √2500 = 50 . . .  cm

The length of the hypotenuse is 50 cm.

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You may recognize this as a multiple of the 7-24-25 Pythagorean triple.

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