# In a right angled ?ABC, AC is hypotenuse and other two sides are of length 12m and 9m . X is a point outside the triangle such that XA=20m and XC=25 M. find the measure of angle XAC.

$In\;\triangle ABC\\*apply\;pythagorus\;theorem\\* AC^2=AB^2+Bc^2\\*AC^2=12^2+9^2=144+81=225\\* AC=15\;m\\* Now,\;In\; \triangle AXC\\* we\;obsereved\;that\;it\;follows\;pythagorus\;theorem\\* CX^2=AX^2+AC^2\\*25^2=20^2+15^2\\*625=400+225\\* \therefore \angle XAC = 90^{\circ}\\* Hence,\;it\;is\;a\;right\;angle\;triangle\;and\;\angle XAC\;is\;90^{\circ}\\* because\; it\;opposite\;to\;the\;hypotaneous\;(or\;bigger\;side)$

## Most Viewed Questions

### Preparation Products

##### Knockout NEET May 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 40000/-
##### Knockout NEET May 2025

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 45000/-
##### NEET Foundation + Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 54999/- ₹ 42499/-
##### Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-