A) 12 cm and 14 cm
B) 10 cm and 14 cm
C) 7 cm and 14 cm
D) 9 cm and 14 cm
E) None of these
Correct Answer: B
Solution :
Explanation Option [b] is correct. Lets consider the common multiplier x. According to the question \[70=\frac{1}{2}\times 5x\times 7x\Rightarrow 70=\frac{35{{x}^{2}}}{2}\] \[\Rightarrow 140=35{{x}^{2}}\Rightarrow {{x}^{2}}=\frac{140}{35}=4\] \[\Rightarrow x=\sqrt{4}=2cm\] Hence, base of the triangle \[=5\times 2=10cm\] and height \[7\times 2=14cm.\]
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