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
ABC is a triangle right angled at C. If AB = 25 cm and AC = 7 cm, find BC.
In ∆ABC, ∠BAC = 90°, seg BL and seg CM are medians of ∆ABC. Then prove that:
4(BL2 + CM2) = 5 BC2

If the angles of a triangle are 30°, 60°, and 90°, then shown that the side opposite to 30° is half of the hypotenuse, and the side opposite to 60° is `sqrt(3)/2` times of the hypotenuse.
In the given figure, AD = 13 cm, BC = 12 cm, AB = 3 cm and angle ACD = angle ABC = 90°. Find the length of DC.

Use the information given in the figure to find the length AD.

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?
The hypotenuse of a right angled triangle of sides 12 cm and 16 cm is __________
In ∆PQR, PD ⊥ QR such that D lies on QR. If PQ = a, PR = b, QD = c and DR = d, prove that (a + b)(a – b) = (c + d)(c – d).
In the adjoining figure, a tangent is drawn to a circle of radius 4 cm and centre C, at the point S. Find the length of the tangent ST, if CT = 10 cm.

The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. If the ladder is shifted in such a way that its foot is 8 m away from the wall, to what height does its top reach?
