Advertisements
Advertisements
Question
In a triangle, sum of squares of two sides is equal to the square of the third side.
Options
True
False
Advertisements
Solution
This statement is False.
Explanation:
In a right-angled triangle, the sum of squares of two sides is equal to the square of the third side.
APPEARS IN
RELATED QUESTIONS
From a point O in the interior of a ∆ABC, perpendicular OD, OE and OF are drawn to the sides BC, CA and AB respectively. Prove
that :
`(i) AF^2 + BD^2 + CE^2 = OA^2 + OB^2 + OC^2 – OD^2 – OE^2 – OF^2`
`(ii) AF^2 + BD^2 + CE^2 = AE^2 + CD^2 + BF^2`
ABC is an isosceles triangle right angled at C. Prove that AB2 = 2AC2
ABC is an isosceles triangle with AC = BC. If AB2 = 2AC2, prove that ABC is a right triangle.
Tick the correct answer and justify: In ΔABC, AB = `6sqrt3` cm, AC = 12 cm and BC = 6 cm.
The angle B is:
In the figure: ∠PSQ = 90o, PQ = 10 cm, QS = 6 cm and RQ = 9 cm. Calculate the length of PR.
Find the side of the square whose diagonal is `16sqrt(2)` cm.
In the given figure, AD = 13 cm, BC = 12 cm, AB = 3 cm and angle ACD = angle ABC = 90°. Find the length of DC.
From the given figure, find the length of hypotenuse AC and the perimeter of ∆ABC.
A man goes 10 m due east and then 24 m due north. Find the distance from the straight point.
In a triangle ABC, AC > AB, D is the midpoint BC, and AE ⊥ BC. Prove that: AB2 = AD2 - BC x CE + `(1)/(4)"BC"^2`
