Question

Find the length of x
Please give step by step explanation
i will mark u as brainlist if u give step by step explanation
pls give ans fast​

Answer 1

Answer:

a) let base = x

perpendicular = 8cm

hypotenuse = 10cm

by Pythagoras theorem :

(H)²=(B)²+(P)²

(B)²=(H)²-(P)²

(B)²=(10)²-(8)²

(B)²=100-64

(B)²=36

(B)=√36

(B)=6cm

b) base = 8cm

perpendicular = 15cm

let hypotenuse = x

by Pythagoras theorem :

(H)²=(B)²+(P)²

(H)²=(8)²+(15)²

(H)²=64+225

(H)²=289

(H)=√289

(H)=17cm

Step-by-step explanation:

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Answer 2

i). In ∆ABC

i). We know that the side opposite to the right angle is called the hypotenuse.

∴ AC² = AB² + BC². [By Pythagoras theorem]

${\bold\blue{⇒}}$ 10² = 8² + x²

${\bold\blue{⇒}}$100 = 64 + x²

${\bold\blue{⇒}}$x² = 100 - 64

${\bold\blue{⇒}}$x² = 36

${\bold\blue{⇒}}$x = √36

${\bold\pink{⇒}}$ x = 6cm

⠀

ii). In ∆PQR,

${\bold\blue{⇒}}$ By Pythagoras theorem,

${\bold\blue{⇒}}$PR² = PQ² + QR²

${\bold\blue{⇒}}$x² = 15² + 8²

${\bold\blue{⇒}}$x² = 225 + 64

${\bold\blue{⇒}}$x² = 289

${\bold\blue{⇒}}$x = √289

${\bold\pink{⇒}}$x = 17cm

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${\bold\blue{Additional \: Information}}$

• A right angle triangle has one of its angle equals to 90°

• The side opposite to the right angle is called the hypotenuse.

• The other two sides that contain right angle are called the base and perpendicular of the right angled triangle.

⠀

FORMULA:-

(Hypotenuse)² = (Base)² + (Perpendicular)²

$\bold{\red{\boxed{{{Remark}}}}}$

The two sides of a right triangle other than the hypotenuse are called its legs.