Advertisements
Advertisements
Question
If the hypotenuse of one right triangle is equal to the hypotenuse of another right triangle, then the triangles are congruent.
Options
True
False
Advertisements
Solution
This statement is False.
Explanation:
Since, two right triangles are congruent, if the hypotenuse and one side of a triangle are equal to the hypotenuse and one side of another triangle.
APPEARS IN
RELATED QUESTIONS
The diagonal of a rectangular field is 16 metres more than the shorter side. If the longer side is 14 metres more than the shorter side, then find the lengths of the sides of the field.
In Figure, ABD is a triangle right angled at A and AC ⊥ BD. Show that AB2 = BC × BD

Prove that (1 + cot A - cosec A ) (1 + tan A + sec A) = 2
In the given figure, angle ADB = 90°, AC = AB = 26 cm and BD = DC. If the length of AD = 24 cm; find the length of BC.

A boy first goes 5 m due north and then 12 m due east. Find the distance between the initial and the final position of the boy.
Find the Pythagorean triplet from among the following set of numbers.
4, 7, 8
The perimeters of two similar triangles ABC and PQR are 60 cm and 36 cm respectively. If PQ = 9 cm, then AB equals ______.
In the given figure, AD is a median of a triangle ABC and AM ⊥ BC. Prove that:

(i) `"AC"^2 = "AD"^2 + "BC"."DM" + (("BC")/2)^2`
(ii) `"AB"^2 = "AD"^2 - "BC"."DM" + (("BC")/2)^2`
(iii) `"AC"^2 + "AB"^2 = 2"AD"^2 + 1/2"BC"^2`
Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is ______.
In a triangle, sum of squares of two sides is equal to the square of the third side.
