Advertisements
Advertisements
प्रश्न
If in ∆ABC, DE || BC. AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is
विकल्प
1.4 cm
1.8 cm
1.2 cm
1.05 cm
Advertisements
उत्तर
1.4 cm
Explanation;
Hint:
In ∆ABC and ADE
`"AB"/"AD" = "AC"/"AE" ⇒ 3.6/2.1 = 2.4/"AE"`
3.6 × AE = 2.4 × 2.1
AE = `(2.4 xx 2.1)/3.6 = (24 xx 21)/360`
AE = 1.4 cm
APPEARS IN
संबंधित प्रश्न
The hypotenuse of a right triangle is 6 m more than twice of the shortest side. If the third side is 2 m less than the hypotenuse, find the sides of the triangle
Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?
If the sides of a triangle are in the ratio 5 : 12 : 13 then, it is ________
8, 15, 17 is a Pythagorean triplet
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
9, 40, 41
The area of a rectangle of length 21 cm and diagonal 29 cm is __________
If length of both diagonals of rhombus are 60 and 80, then what is the length of side?
If a triangle having sides 8 cm, 15 cm and 17 cm, then state whether given triangle is right angled triangle or not
In ∆LMN, l = 5, m = 13, n = 12 then complete the activity to show that whether the given triangle is right angled triangle or not.
*(l, m, n are opposite sides of ∠L, ∠M, ∠N respectively)
Activity: In ∆LMN, l = 5, m = 13, n = `square`
∴ l2 = `square`, m2 = 169, n2 = 144.
∴ l2 + n2 = 25 + 144 = `square`
∴ `square` + l2 = m2
∴ By Converse of Pythagoras theorem, ∆LMN is right angled triangle.
In the given figure, triangle PQR is right-angled at Q. S is the mid-point of side QR. Prove that QR2 = 4(PS2 – PQ2).

