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GREYUIT [131]
2 years ago
7

Can someone please help me with this quick question

Mathematics
2 answers:
ser-zykov [4K]2 years ago
7 0

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

VLD [36.1K]2 years ago
5 0

\large\huge\green{\sf{Answer:-}}

  • option c is correct

\large\huge\green{\sf{Given:-}}

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

\large\huge\green{\sf{ToFind:-}}

  • area of triangle

\large\huge\green{\sf{FormulaUsed:-}}

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

\large\huge\green{\sf{Solution:-}}

∵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:-

\frac{1}{2}  \times b \times h \\  \frac{1}{2}  \times9 \times 12  \\  \frac{9\times 12}{2}  \\  \frac{108}{2}  = 54

∵hence ,area of traingle is 54 cm²

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