Q21 of 99 Page 267

An isosceles right-angled triangle of which the length of each side of equal two sides is a unit. The perimeter of triangle is

Given the length of equal side of isosceles right-triangle = a


Then hypotenuse =


⇒ Hypotenuse = √2a units


Perimeter of the triangle = 2a + √2a


= (2 +√2)a units


Hence the solution is option (b)

More from this chapter

All 99 →
20

The largested square is cut-out from a right-angled triangular region with length of 3 cm, 4 cm and 5 cm respectively in such a way that the one vertex of square lies on hypotenuse of triangle. Let us write by calculating the length of side of square.

 21

If each side of an equilateral triangle is 4 cm, the measure of heights is

 21

If the area, perimeter and height of an equilateral triangle are a, s and h, then value of is

 21

The length of each equal side of an isosceles triangle is 5 cm. and length of base is 6 cm. The area of triangle is