Question

make a 5 questions with answer on isosceles triangle​

Answer 1

Example Questions

Question 1: Find the area of an isosceles triangle given b = 12 cm and h = 17 cm?

Solution:

Base of the triangle (b) = 12 cm

Height of the triangle (h) = 17 cm

Area of Isosceles Triangle = (1/2) × b × h

= (1/2) × 12 × 17

= 6 × 17

= 102 cm2

Question 2: Find the length of the base of an isosceles triangle whose area is 243 cm2, and the altitude of the triangle is 27 cm.

Solution:

Area of the triangle = A = 243 cm2

Height of the triangle (h) = 27 cm

The base of the triangle = b =?

Area of Isosceles Triangle = (1/2) × b × h

243 = (1/2) × b × 27

243 = (b×27)/2

b = (243×2)/27

b = 18 cm

Thus, the base of the triangle is 18 cm.

Question 3: Find the area, altitude and perimeter of an isosceles triangle given a = 5 cm (length of two equal sides), b = 9 cm (base).

Solution:

Given, a = 5 cm

b = 9 cm

Perimeter of an isosceles triangle= 2a + b

= 2(5) + 9 cm

= 10 + 9 cm

= 19 cm

Altitude of an isosceles triangle,h = √(a2 − b2/4)

= √(52 − 92/4)

= √(25 − 81/4) cm

= √(25–81/4) cm

= √(25−20.25) cm

= √4.75 cm

h = 2.179 cm

Area of an isosceles triangle= (b×h)/2

= (9×2.179)/2 cm²

= 19.611/2 cm²

A = 9.81 cm²

Question 4: Find the area, altitude and perimeter of an isosceles triangle given a = 12 cm, b = 7 cm.

Solution:

a = 12 cm

b = 7 cm

Perimeter of an isosceles triangle= 2a + b

= 2(12) + 7 cm

= 24 + 7 cm

P = 31 cm

Altitude of an isosceles triangle,= √(a2 − b2⁄4)

= √(122−72/4) cm

= √(144−49/4) cm

= √(144−12.25) cm

= √131.75 cm

h = 11.478 cm

Area of an isosceles triangle= (b×h)/2

= (7×11.478)/2 cm²

= 80.346/2 cm²

= 40.173 cm²

Frequently Asked Questions

What is an Isosceles Triangle?

An isosceles triangle can be defined as a special type of triangle whose 2 sides are equal in measure. For an isosceles triangle, along with two sides, two angles are also equal in measure.

What does the Area of an Isosceles Triangle Mean?

The area of an isosceles triangle is defined as the amount of space occupied by the isosceles triangle in the two-dimensional plane.

What is the Formula for Area of Isosceles Triangle?

To calculate the area of an equilateral triangle, the following formula is used:A = ½ × b × h

What is the Formula for Perimeter of Isosceles Triangle?

The formula to calculate the perimeter of an equilateral triangle is:P = 2a + b

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