Advertisements
Advertisements
प्रश्न
In the figure, find AR
Advertisements
उत्तर
∆AFI, ∆FRI are right triangles.
By Pythagoras theorem,
AF2 = AI2 – FI2
= 252 – 152
= 625 – 225
= 400
= 202
∴ AF = 20 feet.
FR2 = RI2 – FI2
= 172 – 152
= 289 – 225
= 64
= 82
FR = 8 feet.
∴ AR = AF + FR
= 20 + 8
= 28 feet.
APPEARS IN
संबंधित प्रश्न
P and Q are the mid-points of the sides CA and CB respectively of a ∆ABC, right angled at C. Prove that:
`(i) 4AQ^2 = 4AC^2 + BC^2`
`(ii) 4BP^2 = 4BC^2 + AC^2`
`(iii) (4AQ^2 + BP^2 ) = 5AB^2`
Identify, with reason, if the following is a Pythagorean triplet.
(24, 70, 74)
Find the side and perimeter of a square whose diagonal is 10 cm.
In ∆ABC, ∠BAC = 90°, seg BL and seg CM are medians of ∆ABC. Then prove that:
4(BL2 + CM2) = 5 BC2
The given figure shows a quadrilateral ABCD in which AD = 13 cm, DC = 12 cm, BC = 3 cm and ∠ABD = ∠BCD = 90o. Calculate the length of AB.
There are two paths that one can choose to go from Sarah’s house to James's house. One way is to take C street, and the other way requires to take B street and then A street. How much shorter is the direct path along C street?
Find the unknown side in the following triangles
In triangle ABC, line I, is a perpendicular bisector of BC.
If BC = 12 cm, SM = 8 cm, find CS
The longest side of a right angled triangle is called its ______.
A right-angled triangle may have all sides equal.
