Home
Class 9
MATHS
In triangle ABC, angle ABC=90^@, AB=2a...

In triangle ABC, `angle ABC=90^@`, AB=2a+1` and `BC=`2a^2+2a` find `AC` in terms of 'a'. If `a =8` , find the lengths of the sides of the triangle`.

Text Solution

Verified by Experts

BY Pythagoras theorem
`AC^2=AB^2+BC^2`
`AC^2=(2a+1)^2+(2a^2+2a)^2`
`AC^2=4a^2+1+4a+4a^4+4a^2+8a^3`
`AC^2=4a^4+8a^3+8a^2+4a+1`
`AC=sqrt(4a^4+8a^3+8a^2+4a+1)`
if a=8
`AB=2a+1=2*8+1=17`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

In a right triangle ABC, angle B = 90^@ : If AB = 6 cm, BC = 8 cm, find AC

In any triangle ABC, if angle C=90^@ , AC=4 unit, BC=3, find AB.

In a right triangle ABC, angle B = 90^@ : If AC = 13 cm, BC = 5 cm, find AB

In triangle ABC , angle B = 90 ^(@) , AB = 40 , AC + BC = 80 , Find : sin A

In triangle ABC , angle B = 90 ^(@) , AB = 40 , AC + BC = 80 , Find : cos A

In triangle ABC , angle B = 90 ^(@) , AB = 40 , AC + BC = 80 , Find : tan C .

In a right triangle ABC, angleB = 90^@ If AB = 6 cm, BC = 8 cm, Find AC,

In a right triangle ABC , angleB = 90^@ . If AC = 17 cm, BC = 8 cm,find AB.

in a right angled triangle ABC with angleC=90^(@),AB=5cm and BC=3cm . find AC

In triangle ABC, angle ABC =90^@ angle BAC =45^@ and AC =4 sqrt(2) cm , then find AB.