A triangular target with sides measuring 5 , | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) $1$. First,calculate the area of the square board: $	ext{Area of square} = 	ext{side}^2 = 20 \, cm 	imes 20 \, cm = 400 \, cm^2$.$2$. Next,iden

Vedclass · Accepted Answer

$\frac{3}{40}$

Vedclass · Answer

(C) $1$. First,calculate the area of the square board: $	ext{Area of square} = 	ext{side}^2 = 20 \, cm 	imes 20 \, cm = 400 \, cm^2$.$2$. Next,identify the type of triangle. Since $5^2 + 12^2 = 25 + 144 = 169 = 13^2$,the triangle is a right-angled triangle.$3$. Calculate the area of the triangular target: $	ext{Area of triangle} = \frac{1}{2} 	imes 	ext{base} 	imes 	ext{height} = \frac{1}{2} 	imes 5 \, cm 	imes 12 \, cm = 30 \, cm^2$.$4$. The probability $P$ that a dart hitting the board hits the target is given by the ratio of the area of the target to the area of the board: $P = \frac{	ext{Area of triangle}}{	ext{Area of square}} = \frac{30}{400} = \frac{3}{40}$.

$A$ triangular target with sides measuring $5 \, cm, 12 \, cm$,and $13 \, cm$ is drawn on a square board with side $20 \, cm$. Find the probability that a dart hitting the board hits the target.

Similar Questions

The probability of the month of August in any year having $5$ Mondays is ..........

$A$ game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers $1, 2, 3, \dots, 11, 12$ on a circular disc. All these outcomes are equally likely. Then, the probability that the arrow rests to point at $7$ is ..........

Two balanced dice are rolled. Find the probability that the numbers on two dice are equal.

If a number is selected at random from one-digit natural numbers,the probability of that number being a multiple of $3$ is ..... .

The probability of a non-leap year having $53$ Fridays is $\ldots \ldots \ldots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module