Respuesta :

reinhard10158

Step-by-step explanation:

quick ...

first we need to find x.

and then we can calculate the area by

baseline × height / 2

which is here

12 × x / 2

x we get via Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

15² = 12² + x²

x² = 15² - 12² = 225 - 144 = 81

x = 9

the area of the triangle is then

12 × 9 / 2 = 6×9 = 54 m²

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

  • option c is correct

[tex]\large\huge\green{\sf{Given:-}}[/tex]

  • perpendicular side= 12m
  • hypotheses side= 15m
  • base = x m

[tex]\large\huge\green{\sf{ToFind:-}}[/tex]

  • area of triangle

[tex]\large\huge\green{\sf{FormulaUsed:-}}[/tex]

  • Pythagoras theorem h²= p²+b²
  • and area of traingle = 1/2xbxh

[tex]\large\huge\green{\sf{Solution:-}}[/tex]

∵h²= p²+b²

➡(15)²=(12)²+ x²

➡x²= (15)²-(12)²

➡x²= 225-144= 81m

➡x=√81= 9m

  • the Length of base = 9m

☆ area of traingle:-

[tex] \frac{1}{2} \times b \times h \\ \frac{1}{2} \times9 \times 12 \\ \frac{9\times 12}{2} \\ \frac{108}{2} = 54[/tex]

∵hence ,area of traingle is 54 cm²