Advertisements
Advertisements
Question
Triangle ABC is right-angled at vertex A. Calculate the length of BC, if AB = 18 cm and AC = 24 cm.
Advertisements
Solution
Given: ∆ ABC right angled at A and AB = 18 cm, AC = 24 cm.

To find: Length of BC.
According to Pythagoras Theorem,
BC2 = AB2 + AC2
= 182 + 242 = 324 + 576 = 900
∴ BC =`sqrt900=sqrt(30xx30)` = 30 cm
APPEARS IN
RELATED QUESTIONS
If the sides of a triangle are 6 cm, 8 cm and 10 cm, respectively, then determine whether the triangle is a right angle triangle or not.
PQR is a triangle right angled at P and M is a point on QR such that PM ⊥ QR. Show that PM2 = QM . MR
Identify, with reason, if the following is a Pythagorean triplet.
(3, 5, 4)
Pranali and Prasad started walking to the East and to the North respectively, from the same point and at the same speed. After 2 hours distance between them was \[15\sqrt{2}\]
km. Find their speed per hour.
In the figure below, find the value of 'x'.

From the given figure, find the length of hypotenuse AC and the perimeter of ∆ABC.

A right triangle has hypotenuse p cm and one side q cm. If p - q = 1, find the length of third side of the triangle.
If in a ΔPQR, PR2 = PQ2 + QR2, then the right angle of ∆PQR is at the vertex ________
Two angles are said to be ______, if they have equal measures.
Height of a pole is 8 m. Find the length of rope tied with its top from a point on the ground at a distance of 6 m from its bottom.
