Question

The base of an isosceles right triangle is 30 cm. Its area is
A. 225 cm²
B. 225 √3 cm²
C. 225 √2 cm²
D. 450 cm²

Answer 1

Given : The base of an isosceles right triangle is 30 cm.

In an isosceles right triangle two sides are equal containing an right angle.

Therefore, base = altitude = 30 cm

Area of triangle ∆ = ½ × base × height  

Area of triangle ∆ = ½ × 30 × 30

Area of triangle ∆ = 15 × 30

Area of triangle ∆ = 450 cm²

Hence, area of an isosceles right triangle is 450 cm².

Option (D) 450 cm² is correct.

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Answer 2

Base = 30 cm

Since it is an isosceles and right angled triangle, the height will be equal to the base.

Area = 1/2 × base × height

Area = 1/2 × 30 × 30

Area = 450 sq cm

Answer:- (D) 450 sq cm