Question

Which of these cannot be the area of a right-angled triangle if the hypotenuse of the triangle is 13 m and one other side is 5 m?

• A. $32.5m^2$
• B. $78m^2$
• C. $30m^2$
• D. $60m^2$

Answer 1

Answer: (A), (B), (D)

$60m^2$

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Let the triangle be ABC where AC = 13 m and BC = 5 m

Using Pythagoras theorem we can write,

$A{B}^2=A{C}^2-B{C}^2$


Therefore, $A{B}^2={13}^2–5^2\Rightarrow AB=12m$
Area of triangle = $\frac{1}{2}\times base\times height=\frac{1}{2}\times 5\times 12=30m^2$