Advertisements
Advertisements
Question
For finding AB and BC with the help of information given in the figure, complete following activity.
AB = BC .......... 
∴ ∠BAC =
∴ AB = BC = × AC
= × `sqrt8`
= × `2sqrt2`
=
Advertisements
Solution
AB = BC ...(Given)
∴ ∠BAC = 45°
∴ AB = BC = `1/sqrt2` × AC
= `1/sqrt2` × `sqrt8`
= `1/sqrt2` × `2sqrt2`
= 2
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.
Sides of triangles are given below. Determine it is a right triangles? In case of a right triangle, write the length of its hypotenuse. 3 cm, 8 cm, 6 cm
In Figure, ABD is a triangle right angled at A and AC ⊥ BD. Show that AD2 = BD × CD
The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.
In the given figure, ∆ABC is an equilateral triangle of side 3 units. Find the coordinates of the other two vertices ?
In ∆ABC, seg AD ⊥ seg BC, DB = 3CD.
Prove that: 2AB2 = 2AC2 + BC2
Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m;
find the distance between their tips.
In the figure, given below, AD ⊥ BC.
Prove that: c2 = a2 + b2 - 2ax.
Diagonals of rhombus ABCD intersect each other at point O.
Prove that: OA2 + OC2 = 2AD2 - `"BD"^2/2`
Prove that in a right angle triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides.
Triangle ABC is right-angled at vertex A. Calculate the length of BC, if AB = 18 cm and AC = 24 cm.
In the figure below, find the value of 'x'.
In the right-angled ∆LMN, ∠M = 90°. If l(LM) = 12 cm and l(LN) = 20 cm, find the length of seg MN.
From the given figure, find the length of hypotenuse AC and the perimeter of ∆ABC.
Rithika buys an LED TV which has a 25 inches screen. If its height is 7 inches, how wide is the screen? Her TV cabinet is 20 inches wide. Will the TV fit into the cabinet? Give reason
The longest side of a right angled triangle is called its ______.
Two angles are said to be ______, if they have equal measures.
In a triangle, sum of squares of two sides is equal to the square of the third side.
Jiya walks 6 km due east and then 8 km due north. How far is she from her starting place?
