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Ask QuestionPosted by P R I N C E 4 years ago
- 3 answers
Gaurav Seth 4 years ago
Given,
Side a=18cm
Side b=10cm
Perimeter=42cm=a+b+c
:. Putting value
42=18+10+c
42=28+c
42-28=c
14=c
Now,
S=(a+b+c)/2
:. Putting value
S=42/2
S=21
Now according to Heron's formula-
Area of a triangle
=√{s(s-a)(s-b)(s-c)}
:. Putting value
=√{21(21-18)(21-10)(21-14)}
=√{21(3)(11)(7)}
=√4851
=21√11cm²
Posted by Adarsh Tiwari 4 years ago
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Yogita Ingle 4 years ago
The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle. If the length of an arc is exactly half of the circle, it is known as a semicircular arc.
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Gaurav Seth 3 years, 11 months ago
∵ TR is a line
∴ ∠PQT + ∠PQR = 180°
⇒ 110° + ∠PQR = 180°
⇒ ∠PQR = 180° - 110° = 70° ...(1)
∵ QS is a line
∴ ∠SPR + ∠QPR = 180°
⇒ 135° + ∠QPR = 180°
⇒ ∠QPR = 180° - 135° = 45° ...(2)
In ∆PQR,
∠PQR + ∠QPR + ∠PRQ = 180°
| ∵ The sum of all the angles of a triangle is 180°
⇒ 70° + 45° + ∠PRQ = 180°
| Using (1) and (2)
⇒ 115° + ∠PRQ = 180°
⇒ ∠PRQ = 180° - 115° = 65°.
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