Advertisements
Advertisements
प्रश्न
Find the length of the hypotenuse of a triangle whose other two sides are 24cm and 7cm.
Advertisements
उत्तर
The two sides (excluding hypotenuse) of a right-angled triangle are given as 24cm and 7cm
(hypotenuse)2 = (24cm)2 + (7cm)2
(hypotenuse)2 = 576cm2 + 49cm2
(hypotenuse)2 = 625cm2
(hypotenuse)2 = (25cm)2
Thus, the length of the hypotenuse of the triangle is 25cm.
APPEARS IN
संबंधित प्रश्न
Two towers of heights 10 m and 30 m stand on a plane ground. If the distance between their feet is 15 m, find the distance between their tops
ABC is a right-angled triangle, right-angled at A. A circle is inscribed in it. The lengths of the two sides containing the right angle are 5 cm and 12 cm. Find the radius of the circle
ABCD is a rhombus. Prove that AB2 + BC2 + CD2 + DA2= AC2 + BD2
ABC is a triangle right angled at C. If AB = 25 cm and AC = 7 cm, find BC.
Identify, with reason, if the following is a Pythagorean triplet.
(3, 5, 4)
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 ∆ABC, seg AD ⊥ seg BC, DB = 3CD.
Prove that: 2AB2 = 2AC2 + BC2
In right angle ΔABC, if ∠B = 90°, AB = 6, BC = 8, then find AC.
Prove that `(sin θ + cosec θ)^2 + (cos θ + sec θ)^2 = 7 + tan^2 θ + cot^2 θ`.
A ladder, 6.5 m long, rests against a vertical wall. If the foot of the ladder is 2.5 m from the foot of the wall, find up to how much height does the ladder reach?
The sides of the triangle are given below. Find out which one is the right-angled triangle?
1.5, 1.6, 1.7
Determine whether the triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is a right-angled triangle.
In the figure, find AR
From given figure, In ∆ABC, If AC = 12 cm. then AB =?
Activity: From given figure, In ∆ABC, ∠ABC = 90°, ∠ACB = 30°
∴ ∠BAC = `square`
∴ ∆ABC is 30° – 60° – 90° triangle
∴ In ∆ABC by property of 30° – 60° – 90° triangle.
∴ AB = `1/2` AC and `square` = `sqrt(3)/2` AC
∴ `square` = `1/2 xx 12` and BC = `sqrt(3)/2 xx 12`
∴ `square` = 6 and BC = `6sqrt(3)`
If S is a point on side PQ of a ΔPQR such that PS = QS = RS, then ______.
In an isosceles triangle PQR, the length of equal sides PQ and PR is 13 cm and base QR is 10 cm. Find the length of perpendicular bisector drawn from vertex P to side QR.
Two trees 7 m and 4 m high stand upright on a ground. If their bases (roots) are 4 m apart, then the distance between their tops is ______.
The longest side of a right angled triangle is called its ______.
Two squares are congruent, if they have same ______.
Points A and B are on the opposite edges of a pond as shown in the following figure. To find the distance between the two points, the surveyor makes a right-angled triangle as shown. Find the distance AB.
