Question

rectangle is such that its length 15 cm and one of its diagonal measure 17 cm find its breadth
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Answer 1

Answer-8 cm

step- by step explanation

if we divide the triangle diagonally, we get a right angled triangle from a rectangle.

if we divide the triangle diagonally, we get a right angled triangle from a rectangle.they gave diagonal=hypotenuse=17cm

if we divide the triangle diagonally, we get a right angled triangle from a rectangle.they gave diagonal=hypotenuse=17cmone side=15cm

if we divide the triangle diagonally, we get a right angled triangle from a rectangle.they gave diagonal=hypotenuse=17cmone side=15cmaccording to pythagorous theorem,

if we divide the triangle diagonally, we get a right angled triangle from a rectangle.they gave diagonal=hypotenuse=17cmone side=15cmaccording to pythagorous theorem,(15)²+x²=(17)²

if we divide the triangle diagonally, we get a right angled triangle from a rectangle.they gave diagonal=hypotenuse=17cmone side=15cmaccording to pythagorous theorem,(15)²+x²=(17)²x²=289-225

if we divide the triangle diagonally, we get a right angled triangle from a rectangle.they gave diagonal=hypotenuse=17cmone side=15cmaccording to pythagorous theorem,(15)²+x²=(17)²x²=289-225x²=64

if we divide the triangle diagonally, we get a right angled triangle from a rectangle.they gave diagonal=hypotenuse=17cmone side=15cmaccording to pythagorous theorem,(15)²+x²=(17)²x²=289-225x²=64x=8cm

Answer 2

Length:15cm

Breadth:X

diagonal:17 cm

Name the rectangle as ABCD

now let the triangle ABC a right angle triangle

No we will find the breadth of rectangle as perpendicular of ∆ABC

According to Pythagoras theorem: H²=B²+P²

17²=15²+X²

X²= √(17+15)×(17-15)

X²= √(32×2)

X²= √64

X=8

Therefore Breadth of rectangle is 8cm