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A right angle triangle have angleAOB=90°, AC=BC, OA=12cm and OC=6.5 and OB is its base. Find the measure of OB.

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by Tomar

c is wat

An point on right triangle

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by Tomar

c is wat

An point on right triangle

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Now the mid-point of the hypotenuse of a right triangle is equidistant from the vertices.

Therefore, AC = BC = OC

hence, AC = BC = 6.5cm [since, OC = 6.5cm]

Now, AB = AC + BC = 6.5 + 6.5 = 13cm

According to Pythagoras rule,

OB² = AB² - AO²

OB² = 13² - 12²

OB² = 169 - 144 = 25

OB = √25 = 5cm