Advertisements
Advertisements
प्रश्न
From the given figure, find the length of hypotenuse AC and the perimeter of ∆ABC.
Advertisements
उत्तर
Given here is a right-angled triangle. So, we can apply Pythagoras theorem.
AB2 + BC2 = AC2
⇒ 202 + 212 = AC2
⇒ AC2 = 400 + 441 = 841
⇒ AC = 29
Thus, the length of hypotenuse is 29 units.
Perimeter of ∆ABC = AB + BC + CA = 20 + 21 + 29 = 70 units.
APPEARS IN
संबंधित प्रश्न
Identify, with reason, if the following is a Pythagorean triplet.
(4, 9, 12)
In an isosceles triangle ABC; AB = AC and D is the point on BC produced.
Prove that: AD2 = AC2 + BD.CD.
The top of a ladder of length 15 m reaches a window 9 m above the ground. What is the distance between the base of the wall and that of the ladder?
From a point O in the interior of aΔABC, perpendicular OD, OE and OF are drawn to the sides BC, CA and AB respectively. Prove that: AF2 + BD2 + CE2 = OA2 + OB2 + OC2 - OD2 - OE2 - OF2
In a triangle ABC, AC > AB, D is the midpoint BC, and AE ⊥ BC. Prove that: AC2 = AD2 + BC x DE + `(1)/(4)"BC"^2`
Determine whether the triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is a right-angled triangle.
Sides AB and BE of a right triangle, right-angled at B are of lengths 16 cm and 8 cm respectively. The length of the side of largest square FDGB that can be inscribed in the triangle ABE is ______.

In figure, PQR is a right triangle right angled at Q and QS ⊥ PR. If PQ = 6 cm and PS = 4 cm, find QS, RS and QR.
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.
Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is ______.
