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.
Tomar:
An point on right triangle
Answers
Answered by
202
C is the mid-point on AB, so that AC = BC
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
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
Answered by
1
Answer:
bhak l ka ans hai jamskjwejnsjxufhehswuisidhdhe
Similar questions