1. The circum-radius of a right triangle is 10 cm and
one of the two perpendicular sides is 12 cm. Find
the area of the triangle in sq. cm.
Answers
Given : The circum-radius of a right triangle is 10 cm and one of the two perpendicular sides is 12 cm
To find : the area of the triangle in sq. cm
Solution:
The circumcenter of a right triangle lies exactly at the midpoint of the hypotenuse
Circum radius of right angle triangle = hypotenuse /2
=> hypotenuse /2 = 10 cm
=> hypotenuse = 20 cm
One side = 12 cm
Another side = √20² - 12²
=> Another side = √ 400 - 144
=> Another side = √256
=> Another side = 16 cm
Area of right angle triangle = (1/2) 12 x 16
= 96 cm²
area of the triangle = 96 cm²
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Answer:
hypotenuse = 20 cm
One side = 12 cm
Another side = √20² - 12²
=> Another side = √256
=> Another side = 16 cm
Area of right angle triangle = (1/2) 12 x 16
= 96 cm²
area of the triangle = 96 cm²