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Herons Formula

This document contains 10 multiple choice questions about calculating areas and perimeters of triangles using Heron's formula. It also includes a case study with 4 additional multiple choice questions about finding the perimeter, area, and paint cost of a triangle described in a word problem. The document tests understanding of geometry formulas for triangles.

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Sweety Sharma
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0% found this document useful (0 votes)
149 views4 pages

Herons Formula

This document contains 10 multiple choice questions about calculating areas and perimeters of triangles using Heron's formula. It also includes a case study with 4 additional multiple choice questions about finding the perimeter, area, and paint cost of a triangle described in a word problem. The document tests understanding of geometry formulas for triangles.

Uploaded by

Sweety Sharma
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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HERONS FORMULA

Q1 The area of a triangle is 150 cm2 and its sides are in the
ratio 3 : 4 : 5. What is its perimeter?
a. 10 cm
b. 30 cm
c. 45 cm
d. 60 cm
Q2 What in the area of an equilateral triangle with side 2
cm?
a. √6cm2
b. √3cm2
c. √8cm2
d. 4cm2
Q3 What is the length of each side of an equilateral
triangle having an area of
a. 4cm
b. 5cm
c. 5cm
d. 6cm
Q4 The sides of a triangle are 3 cm, 5 cm and 6 cm. What
is its area?

a. 2√3cm2
b. 4√14cm2
c. 5√12cm2
d. 2√5cm2
Q5 What is the area of an equilateral triangle with

side
A 2/27 cm2
B .2/15 cm2
c. 3/16 cm2
d. 3/14 cm2
Q6 length of one of the equal sides of an isosceles triangle
is 4 cm. If its be is 2 cm then what is its area?
a. √15cm2
b. √13cm2
c. √12cm2
d. √14cm2
Q7 If the perimeter of an equilateral triangle is 60 cm, then
what is its area?
a. 200√2cm2
b. 100√2cm2
c. 100√3cm2
d. 200√3cm2
Q8 The sides of a triangle are 8 cm, 11 cm and 13 cm.
What is its area?
a. 8√30cm2
b. 4√10cm2
c. 3√100cm2
d. 6√200cm2
Q9 The sides of a triangle are 15 cm, 17 cm and 8 cm.
What is its area?

a. 20cm2
b. 40cm2
c. 60cm2
d. 80cm2
Q10 The sides of a triangle are in the ratio of 3 : 4 : 5. If its
perimeter is 36 cm, then what is its area?
a. 32 cm2
b. 54 cm2
c. 67 cm2
d. 72cm2

CASE STUDY

Q11 There is a slide in a park. One of its side walls has


been painted in some colour with a message, “Keep the
park clean and green.” The sides of the wall are 11 m, 15m
and 6 m.

ANSWERS

(1) The semi perimeter of the triangle is


A. 30 m
B. 16 m
C. 32 m
D. 15 m
(2) The formula of perimeter of triangle is
𝑎+𝑏+𝑐
A. 2
B. a + b + c
C. a – b – c
D. None of these

(3) Area of the triangle is


A. 15 m2
B. 30 m2
C. 20√2 m2
D. 20 √3 m2
E. Find the cost of paint if the cost of paint is
Rs.8 per m2.
A 160
B 240
C 276.8
D NONE OF THE ABOVE

Answers
1. D
2. B
3. A
4. B
5. C
6. A
7. C
8. A
9. C
10. B
Q11 (1) B
(2) B
(3) C
(4) C

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