the lenght of base of a right angle triangle is 8 cm and altitude is 7cm.find the lenght of hypotenuse corrected upto 2 decimal places
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Step-by-step explanation:
⇒ Let the base BC of the right triangle be xcm
∴ Altitude =AB=(x−7)cm
⇒ Hypotenuse =AC=13cm
According to Pythagoras theorem,
⇒ (AC)
2
=(AB)
2
+(BC)
2
⇒ (13)
2
=(x−7)
2
+(x)
2
⇒ 169=x
2
+49−14x+x
2
⇒ 169=2x
2
−14x+49
⇒ 2x
2
−14x−120=0
∴ x
2
−7x−60=0
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