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What is the length of missing side b in the triangle 7cm and 13 cm?
Wiki User
∙ 11y ago
It might be pythagoras therom but it can only be Pythagoras when the traingle has a right angle. If it does then try to work it out using phythagoras.
If the angle between the given sides is B, then:
b2 = a2 + c2 - 2ac cos B
⇒ b2 = (7 cm)2 + (13 cm)2 - 2 x 7 cm x 13 cm x cos B
⇒ b = √(218 - 182 cos B) cm
If it is a right angle triangle, with B the right angle, cos B = cos 90o = 0 and this becomes Pythagoras making the side:
b = √218 cm
≈ 14.76 cm
If there is a right angle, not between the 7 cm and 13 cm, then the 13cm side is the hypotenuse (as the hypotenuse must be the longest side) and the other side is:
b = √(132 - 72) cm
= √120 cm
≈ 10.95 cm
Wiki User
∙ 11y ago
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