Advertisements
Advertisements
Question
The longest side of a right angled triangle is called its ______.
Advertisements
Solution
The longest side of a right angled triangle is called its hypotenuse.
Explanation:
In a right-angled triangle, one of the angles is exactly 90 degrees. The side opposite to this right angle is always the longest side of the triangle and is called the hypotenuse.
According to the Pythagorean Theorem, for a right-angled triangle with sides a, b, and hypotenuse c.
This relation only holds true because the hypotenuse is the side across from the right angle.
APPEARS IN
RELATED QUESTIONS
In the given figure, AD is a median of a triangle ABC and AM ⊥ BC. Prove that:

`"AC"^2 = "AD"^2 + "BC"."DM" + (("BC")/2)^2`
In the given figure, ∆ABC is an equilateral triangle of side 3 units. Find the coordinates of the other two vertices ?

In the given figure, point T is in the interior of rectangle PQRS, Prove that, TS2 + TQ2 = TP2 + TR2 (As shown in the figure, draw seg AB || side SR and A-T-B)

In the following figure, AD is perpendicular to BC and D divides BC in the ratio 1: 3.
Prove that : 2AC2 = 2AB2 + BC2
From the given figure, find the length of hypotenuse AC and the perimeter of ∆ABC.
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 figure, PQR is a right triangle right angled at Q and QS ⊥ PR. If PQ = 6 cm and PS = 4 cm, find QS, RS and QR.
Prove that the area of the semicircle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semicircles drawn on the other two sides of the triangle.
In an equilateral triangle PQR, prove that PS2 = 3(QS)2.

A right-angled triangle may have all sides equal.
