Advertisements
Advertisements
Question
If two legs of a right triangle are equal to two legs of another right triangle, then the right triangles are congruent.
Options
True
False
Advertisements
Solution
This statement is True.
Explanation:
If two legs of a right-angled triangle are equal to two legs of another right-angled triangle, then their third leg will also be equal.
Hence, they will have the same shape and same size.
APPEARS IN
RELATED QUESTIONS
Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm.
In a trapezium ABCD, seg AB || seg DC seg BD ⊥ seg AD, seg AC ⊥ seg BC, If AD = 15, BC = 15 and AB = 25. Find A(▢ABCD)
Prove that (1 + cot A - cosec A ) (1 + tan A + sec A) = 2
Show that the triangle ABC is a right-angled triangle; if: AB = 9 cm, BC = 40 cm and AC = 41 cm
A man goes 10 m due east and then 24 m due north. Find the distance from the straight point.
The length of the diagonals of rhombus are 24cm and 10cm. Find each side of the rhombus.
From a point O in the interior of aΔABC, perpendicular OD, OE and OF are drawn to the sides BC, CA and AB respectively. Prove that: AF2 + BD2 + CE2 = OA2 + OB2 + OC2 - OD2 - OE2 - OF2
In a triangle ABC, AC > AB, D is the midpoint BC, and AE ⊥ BC. Prove that: AC2 = AD2 + BC x DE + `(1)/(4)"BC"^2`
To get from point A to point B you must avoid walking through a pond. You must walk 34 m south and 41 m east. To the nearest meter, how many meters would be saved if it were possible to make a way through the pond?
Two squares are congruent, if they have same ______.
