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’s theorem.
AB2 + BC2 = AC2
⇒ 202 + 212 = AC2
⇒ AC2 = 400 + 441
= 841
⇒ AC = 29
Thus, the length of the hypotenuse is 29 units.
Perimeter of ∆ABC = AB + BC + CA =
20 + 21 + 29
= 70 units.
APPEARS IN
संबंधित प्रश्न
In triangle ABC, AB = AC and BD is perpendicular to AC.
Prove that: BD2 − CD2 = 2CD × AD
Choose the correct alternative:
In right-angled triangle PQR, if hypotenuse PR = 12 and PQ = 6, then what is the measure of ∠P?
If P and Q are the points on side CA and CB respectively of ΔABC, right angled at C, prove that (AQ2 + BP2 ) = (AB2 + PQ2)
Prove that `(sin θ + cosec θ)^2 + (cos θ + sec θ)^2 = 7 + tan^2 θ + cot^2 θ`.
The sides of a certain triangle is given below. Find, which of them is right-triangle
6 m, 9 m, and 13 m
In the figure below, find the value of 'x'.

Two trains leave a railway station at the same time. The first train travels due west and the second train due north. The first train travels at a speed of `(20 "km")/"hr"` and the second train travels at `(30 "km")/"hr"`. After 2 hours, what is the distance between them?
If in a ΔPQR, PR2 = PQ2 + QR2, then the right angle of ∆PQR is at the vertex ________
Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reasons for your answer.
The hypotenuse (in cm) of a right angled triangle is 6 cm more than twice the length of the shortest side. If the length of third side is 6 cm less than thrice the length of shortest side, then find the dimensions of the triangle.
